The physical content of nonrelativistic quantum field theory with non-Abelian Chern-Simons interactions is clarified with the help of the equivalent first-quantized description which we derive in any physical gauge.
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Applying the dynamic shooting method, we proved the existence of nontopological radially symmetric n-vortex solutions to the self-dual equation in non-Abelian Chern-Simons gauge theory with a {Phi}{sup 2}-type potential. Moreover, we obtained all possible radially symmetric nontopological bare (or 0-vortex) solutions in the ...
We show that loop wave equations in non-Abelian Chern-Simons gauge theory are exactly solved by a conformally invariant topological fermionic string theory.
In this paper, the authors discuss Ward identities in five-dimensional Abelian Chern-Simons theory. Using the Ward identities the authors calculate correlation functions of some field variables which are invariant under diffeomorphisms and gauge transformations. The authors show that the correlation functions are expressed by the ...
We compute explicitly Chern-Simons-type terms induced by fermions coupled to external non-Abelian gauge fields in metric nonlinear {sigma} models in three dimensions. We investigate the supersymmetric models defined on general Riemannian and Kaehler manifolds. The diagrammatic calculation is performed by means of the interaction ...
We examine a criterion for the anyonic superconductivity at zero temperature in Abelian matter-coupled Chern-Simons gauge-field theories in three dimensions. By solving the Dyson-Schwinger equations, we obtain a critical value of the statistical charge for the superconducting phase in a massless ...
I review pedagogically some aspects about the SO(3) non-linear (sigma)-model and the topological Hopf term (or the abelian Chern-Simons term). I argue that the presence of the topological Chern-Simons term is irrelevant (for regular gauge field configurat...
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We show that the renormalized vacuum expectation value of the Wilson loop for topologically massive abelian gauge theory in bbfR(sup 3) can be defined so that its large-mass limit be the renormalized vaccum expectation value of the Wilson loop for abelian...
We construct a classical action for a system of N point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and we develop a quantum mechanics for them. Adopting the coherent state quantization and solving the Gauss` constraint in an appropriately chosen ...
The vortex solutions of various classical planar field theories with (Abelian) Chern-Simons term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the Abelian Higgs model is augmented with the Chern-Simons term. Adding a suitable sixth-order potential and turning off the Maxwell term provides us with pure ...
NASA Astrophysics Data System (ADS)
Anyons are particles with fractional statistics. They can exist as point particles in a 2+1 dimension, or as quasiparticles in quasiplanar condensed matter systems in the real world. Anyonic particles can be modeled by ordinary bosons or fermions coupled to a statistical'' Chern-Simons abelian gauge field. For ...
We study the effect of a Chern-Simons (CS) term in the phase structure of two different Abelian gauge theories. For the compact Maxwell-Chern-Simons theory, with the CS term properly defined, we obtain that for values g = n/2? of the CS coupling with n = �1, �2, the theory is equivalent to a gas of closed loops with contact ...
This paper reports on the scalar field coupled to the Abelian Chern-Simons gauge field that is quantized in the loop representation. The physical space of states is found to be labeled by equivalence classes of sets of open paths. The relations among them are studied, showing that the long range interaction provided by the ...
The tree-level unitarity is discussed and the asymptotic behavior of scattering amplitudes for 3-dimensional gauge-invariant models is presented, where complex Chern-Simons-Maxwell fields (with and without a Proca-like mass) are coupled to an Abelian gaug...
I obtain semilocal, self-dual topological as well as nontopological Chern-Simons vortices in an Abelian Higgs model with SU(2){sub global}{direct product}U(1){sub local} symmetry.
The authors discuss different dualities of QHE in the framework of the non-commutative Chern-Simons theory. First, the authors consider the Morita or T-duality transformation on the torus which maps the abelian non-commutative description of QHE on the to...
In this work we study the spontaneous breaking of superconformal and gauge invariances in the Abelian N=1,2 three-dimensional supersymmetric Chern-Simons-matter (SCSM) theories in a large N flavor limit. We compute the K�hlerian effective superpotential at subleading order in 1/N and show that the Coleman-Weinberg mechanism is ...
It was shown that in a free anyon gas there exists a composite vector gauge field with the effective action containing a Chern-Simons term. The momentum dependence of the energy of the composite boson was found. The mixing between Chern-Simons boson and p...
In the framework of Faddeev-Senjanovic (FS) path-integral quantization, CP 1 nonlinear ? model coupled to Non-Abelian Chern-Simons (CS) fields is quantized. Generalized canonical Ward identities (WI) are deduced from the invariance of the canonical effective action under gauge transformations, which are obtained from the generators of ...
We consider the link invariants defined by the quantum Chern-Simons field theory with compact gauge group U(1) in a closed oriented 3-manifold M. The relation of the Abelian link invariants with the homology group of the complement of the links is discussed. We prove that, when M is a homology sphere or when a link--in a generic ...
We search for vortices in a generalized Abelian Chern-Simons model with a nonstandard kinetic term. We illustrate our results, plotting and comparing several features of the vortex solution of the generalized model with those of the vortex solution found in the standard Chern-Simons model.
The 4-dimensional theory of a 1-form Abelian gauge field A coupled to a 2-form (antisymmetric tensor) potential B is studied. The two gauge invariances of the theory admit a coupling mB ? F where F is the field strength (F=dA) of A. It is shown that this theory is a unitary, renormalizable theory of a massive spin-one field with no ...
In odd-dimensional spaces, gauge invariance permits a Chern-Simons mass term for the gauge fields in addition to the usual Maxwell-Yang-Mills kinetic energy term. We study the Casimir effect in such a (2+1)-dimensional Abelian theory. The case of parallel conducting lines was considered by us in a previous paper. Here we discuss the ...
This paper shows that, in a free anyon gas, there exists a composite vector gauge field with the effective action containing a Chern-Simons terms. The momentum dependence of the energy of the composite boson was found. The mixing between Chern-Simons boson and photon gives rise to the appearance of new quasiparticles - Chern-Simons ...
The theory in 2+1 dimensions described by the Abelian Chern-Simons gauge field minimally coupled to a spinor field is given a Fock-space representation. The states which satisfy the constraint of Gauss's law are explicitly constructed for both the weak and strong implementation. The charged states are shown to be coherent ...
We consider a nonrelativistic model where a Schrodinger field has been coupled to an abelian Chern-Simons term. By performing Hamiltonian analysis of the model using the Faddeev{endash}Jackiw symplectic method, we first demonstrate the closure of the Galilean algebra at the classical level in a gauge independent manner. By suitably ...
In a consistent heterotic string theory, the Kalb-Ramond field, which is the source of space-time torsion, is augmented by Yang-Mills and gravitational Chern-Simons terms. When compactified to 4 dimensions and in the field theory limit, such additional terms give rise to interactions with interesting astrophysical predictions like rotation of plane of polarization for ...
We propose a classical model for the non-Abelian Chern-Simons theory coupled to [ital N] pointlike sources and quantize the system using the Becchi-Rouet-Stora-Tyutin technique. The resulting quantum mechanics provides a unified framework for fractional spin, braid statistics, and Knizhnik-Zamolodchikov equation.
Gauge invariant topological interactions, such as the D=5 Chern-Simons (CS) term, are required in models in extra dimensions that split anomaly free representations. The Chern-Simons term is necessary to maintain the overall anomaly cancellations of the theory, but it can have significant, observable, physical effects. The CS term locks the Kaluza-Klein ...
We study topological boundary conditions in abelian Chern-Simons theory and line operators confined to such boundaries. From the mathematical point of view, their relationships are described by a certain 2-category associated to an even integer-valued symmetric bilinear form (the matrix of Chern-Simons couplings). We argue that boundary conditions ...
We study the effect of a Chern-Simons (CS) term in the phase structure of two different gauge theories. For the compact Maxwell-Chern-Simons theory we obtain that for values g=1/m?, m in Z \\ 0 of the CS coupling, the theory is equivalent to a gas of interacting closed vortex loops, exhibiting a phase transition in the 3dXY universality class. By ...
An effective Chern-Simons theory for the Abelian quantum Hall states with edges is proposed to study the edge and bulk properties in a unified fashion. The detailed analysis of the boundary condition is given. With the condition that the currents do not flow outside the sample, the action remains gauge invariant and the edge modes are ...
It is shown that parity-invariant Chern-Simons gauge theory coupled to a spin-1/2 field can support nontopological vortex solutions only for certain values of a parameter in the theory, which is consistent with the interpretation that the anyonic interpretation of the theory is meaningful only for such cases.
The topological Chern-Simons gauge theory is studied in the framework of perturbation theory. Both dimensional and F{sup 2} regularizations are used. This paper demonstrates the vanishing of the beta function up to three loops, the absence of diffeomorphism anomaly in the calculation of two- and three-point functions, and the validity of a topological Ward ...
In this work the authors apply the self-consistency method for determining critical exponents to a model with a four fermi interaction coupled to QED and compute various gauge independent exponents in arbitrary dimensions in the large N expansion at 0(l/N). The formalism is developed to include a Chern Simons term in three dimensions ...
A review of the relation between Chern-Simons gauge theory and topological string theory on noncompact Calabi-Yau spaces is given. This relation has made it possible to give an exact solution of topological string theory on these spaces to all orders in the string coupling constant. Here the focus is on the construction of this solution, which is encoded ...
The mapping of topologically nontrivial gauge transformations in noncommutative gauge theory to corresponding commutative ones is investigated via the operator form of the Seiberg-Witten map. The role of the gauge transformation part of the map is analyzed. Chern-Simons actions are examined and the correspondence ...
We study Chern-Simons induced spin factors in noncovariant metric-independent gauges, such as the axial gauge and the Coulomb gauge. These spin factors are defined without loop splitting. We find that they are equal to integers and have particular geometrical meanings. In the axial gauge, this ...
Exact wave functions for [ital N] non-Abelian Chern-Simons (NACS) particles are obtained by the ladder operator approach. The same method has previously been applied to construct exact wave functions for multianyon systems. The two distinct base states of the NACS particles that we use are multivalued and are defined in terms of path-ordered line ...
We quantize the Abelian Chern-Simons theory coupled to a nonrelativistic matter field on a torus without invoking the flux quantization. Through a series of canonical transformations which is equivalent to solving the Gauss constraint, we obtain an effective Hamiltonian density with a periodic matter field. We also obtain the many-anyon Schroedinger ...
WestudyKaluza-Klein modesofa d = 7, mathcal{N} = 2 vector multiplet in AdS 4� S 3. Such modes arise in the context of AdS/CFT as dual objects of a class of gauge invariant operators in mathcal{N} = 4 Chern-Simons theories. We confirm that the Kaluza-Klein modes precisely reproduce the BPS spectrum of the operators.
Using the decomposition theory of U(1) gauge potential and phi-mapping topological current theory, we investigate the topological inner structure of Chern-Simons tensor current. It is proven that the U(1) Chern-Simons tensor current in four-dimensional manifold is just the topological current of creating the string world-sheets.
It is known that the anomalous D-brane Chern-Simons couplings are not consistent with the standard rules of T-duality. Using compatibility of these couplings with the linear T-duality transformations, the B-field gauge transformations and the general coordinate transformations as guiding principles we find new couplings at order O(??) for C(, C(, C( and ...
Considering three-dimensional Chern-Simons theory, either coupled to matter or with a Yang-Mills term, we show the validity of a trace identity, playing the role of a local form of the Callan-Symanzik equation, in all orders of perturbation theory. From t...
The topology of (2+1)-dimensional space permits the construction of quantum electrodynamics with the usual Maxwell action augmented by a gauge-invariant, but {ital P}- and {ital T}-violating, Chern-Simons mass term. We discuss the Casimir effect between parallel lines in such a theory. The effect of finite temperature is also considered. In principle, our ...
We analyze the problem of defining the black hole entropy when Chern-Simons terms are present in the action. Extending previous works, we define a general procedure, valid in any dimensions both for purely gravitational CS terms and for mixed gauge-gravitational ones. The final formula is very similar to Wald's original formula valid for covariant actions, ...
into general relativity has more, and in fact a quite counter� intuitive, impact on the theory than one naively in Chern Simons theory, but they are not gauge equivalent in Einstein gravity. Instead, OE 2 is related the relation between Einstein gravity and Chern Simons theory, then nobody ...
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Classical three dimensional Yang-Mills is seen to be related to the topological Chern-Simons term through a nonlinear but fully local and covariant gauge field redefinition. A classical recursive cohomological argument is proved. (author) 9 refs.
We consider Chern Simons theories for the Poincar�, de Sitter and anti-de Sitter groups in three dimensions which generalise the Chern Simons formulation of 3d gravity. We determine conditions under which ?-Poincar� symmetry and its de Sitter and anti-de Sitter analogues can be associated to these theories as ...
It is shown that Chern-Simons gauge theories describe both the fractional-quantum-Hall-effect (FQHE) hierarchy and anyon superconductivity, simply by field-theoretically extracting the effects of vortex excitations. Vortices correspond to Laughlin's quasiparticles or bound states of anyons. Both of these phenomena are explained by the condensations of these vortices. ...
By generalizing the topological current of Abelian Chern-Simons (CS) vortices, we present a topological tensor current of CS p-branes based on the phi-mapping topological current theory. It is revealed that CS p-branes are located at the isolated zeros of the vector field phi(x), and the topological structure of CS p-branes is characterized by the winding ...
The authors discuss stochastic quantization of d = 3 dimensional non-Abelian Chern-Simons theory. They demonstrate that the introduction of an appropriate regulator in the Langevin equation yields a well-defined equilibrium limit, thus leading to the correct propagator. They also analyze the connection between d = 3 Chern-Simons and d ...
We consider the creation of non-zero Chern-Simons number in a model of the early Universe, where the Higgs field experiences a fast quench at the end of inflation. We perform numerical lattice simulations in the Abelian Higgs model in 1+1 dimensions and in the SU(2)-Higgs model in 3+1 dimensions with an added effective CP-violating term. We also comment on ...
We show that the anomalous statistics which arises in 2 + 1 dimensional Chern-Simons gauge theories can become temperature dependent in the most natural way. We analyze and show that a statistic's changing phase transition can happen in these theories onl...
We discuss the symplectic diffeomorphisms of a class of supermanifolds and the structure of the underlying infinite dimensional superalgebras. We construct a Chern-Simons (CS) gauge theory in 2+1 dimensions for these algebras. There exists a finite dimens...
The statistical properties of matter fields with anomalous magnetic momentum interacting with the Chern-Simons-Maxwell (CSM) field are considered. It is shown, that in the theory with pure Chern-Simons (CS) action the Semenoff gauge results in anyons with...
Clarifying the behavior of generic Chern-Simons secondary invariants under infinitesimal variation and finite gauge transformation, it is proved that they are eligible to be a candidate term in the Lagrangian in odd dimensions (2k-1 for gauge theories and 4k-1 for gravity). The coefficients in front of these terms may be quantized ...
We apply the mutual Chern-Simons effective theory [Kou, Qi, and Weng, Phys. Rev. B 71, 235102 (2005)] of the doped Mott insulator to the study of the so-called spontaneous vortex phase in the low-temperature pseudogap region, which is characterized by strong unconventional superconducting fluctuations. An effective description for the spontaneous vortex phase is derived from ...
We find solutions of type IIA supergravity which are dual to three-dimensional Chern-Simons-matter theories with unquenched fields in the fundamental representation of the gauge group (flavors). In the holographic dual the addition of flavor is performed by means of D6-branesthat are extended along the Minkowski gauge theory directions ...
A conical defect in 2 + 1 anti-de Sitter space is a BTZ solution with a negative mass parameter. This is a naked singularity, but a rather harmless one: it is a point particle. Naturally, the energy density and the spacetime curvature have a ?-like singularity at the conical defect, but that does not give rise to any unphysical situations. Since the conical solution implies the presence of a ...
For the Abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and present an explicit path-integral nonperturbative computation of the Chern-Simons link invariants in SO(3){approx_equal}RP{sup 3}, a toy example of a 3-manifold with torsion.
We construct consistent bosonic higher-spin gauge theories in odd dimensions D>3 based on Chern Simons forms. The gauge groups are infinite-dimensional higher-spin extensions of the anti-de Sitter groups SO(D?1,2). We propose an invariant tensor on these algebras, which is required for the definition of the ...
We present a new method to construct time-dependent periodic solutions using static solutions in the (2+1)-dimensional Chern-Simons gauge theory with external magnetic field {ital B}. We apply this method to vortex solitons, which may be topological or nontopological; topological vortices are identified with Laughlin's quasiparticles or quasiholes ...
In this article, a planar relativistic self-dual Chern-Simons model with two Higgs particles and two gauge fields is considered. The main purpose is to show the existence of the nontopological multivortex solutions to the system from a mathematical perspective. Specifically, a certain type of nontopological solutions can be constructed by means of an ...
We provide an M theory interpretation of the recently discovered N=8 supersymmetric Chern-Simons theory with SO(4) gauge symmetry. The theory is argued to describe two membranes moving in the orbifold R8/Z2. At level k=1 and k=2, the classical moduli space M coincides with the infrared moduli space of SO(4) and SO(5) super Yang-Mills theory, respectively. ...
PubMed
We study Witten's (2+1)-dimensional Chern-Simons theory with gauge group SU(2). The partition function in this theory is a topological invariant of three-manifolds. Following the prescription given by Witten, we explicitly calculate this partition function on some three-manifolds and verify many of the predictions made by the path integral. Most ...
Making use of ?-mapping topological current method, we discuss the self-dual vortices in the Abelian Chern-Simons model with two complex scalar fields. For each scalar field, an exact nontrivial equation with a topological term which is missing in many references is derived analytically. The general angular momentum is obtained. The magnetic flux which ...
We study several different Z{sub 2} topological ordered states in frustrated spin systems. The effective theories for those different Z{sub 2} topological orders all have the same form--a Z{sub 2} gauge theory which can also be written as a mutual U(1)xU(1) Chern-Simons theory. However, we find that the different Z{sub 2} topological orders are reflected ...
The authors formulate Hamiltonian lattice Chern-Simons theory which has the property that the Chern-Simons gauge fields of the theory can be eliminated by making matter fields multivalued operators with anyonic statistics. They prove that, when the statistics parameter is an odd integer so that the anyons are bosons, the ground state, which consists of a ...
Using the general recipe given in arXiv:0804.0009, where all timelike super-symmetric solutions of mathcal{N} = 2 , D = 4 gauged supergravity coupled to abelian vector multiplets were classified, we construct genuine rotating supersymmetric black holes in AdS4 with nonconstant scalar fields. This is done for the SU(1, 1)/U(1) model with prepotential F = - ...
We derive five-dimensional super Yang-Mills theory from mass-deformed ABJM theory by expanding about S 2 for large Chern-Simons level K. We obtain the Yang-Mills coupling constant g_{YM}^2 = {{{4{?^2}R}} left/ {K} right.} . If we consider {{{{S^3}}} left/ {{{mathbb{Z}_K}}} right.} as a fiber bundle over S 2 then R/ K is the circumference of the fiber. The value on the coupling ...
Chern-Simons theory is formulated quantum field theoretically in terms of string operators, which are localized on finite non-selfintersecting paths in the zero-time plane R[sup 2]. It is shown how the Weyl algebra approach to the abelian Chern-Simons theory leads to a bundle theoretic construction of these Chern-Simons string ...
Non-Abelian anyons exist in certain spin models and may exist in quantum Hall systems at certain filling fractions. In this work, we studied the ground state of dynamical SU(2) level-kappa Chern-Simons non-Abelian anyons at finite density and no external magnetic field. We find that, in the large-kappa limit, the topological ...
The Schwinger--DeWitt proper-time method (WKB expansion) is applied to calculate the anomaly in odd-dimensional gauge theories. The parity violating part of effective action for gauge theory in odd dimensions with massless fermion is calculated explicitly and efficiently by this method. It is shown to be precisely the local ...
In this paper we give a brief account of the work of the group during the past year. The topics covered here include (1) Effective Lagrangians and Solitons; (2) Chern-Simons and Conformal Field Theories; (3) Spin and Statistics; (4) The Standard Model and Beyond; (5) Non-Abelian Monopoles; (6) The Inflationary Universe; (7) The Hubbard Model, and (8) ...
We apply a soft version of the Bogolubov-Parasiuk-Hepp-Zimmermann subtraction scheme to the computation of two-loop corrections from an Abelian Chern-Simons field coupled to (massive) scalar matter with a ?(?�?)2 and ?(?�?)3 self-interactions. The two-loop renormalization group functions are calculated. We compare our results with those in the ...
We study the coupling of an Abelian Chern-Simons field to fermions in space-times of the form RxM(sup 2), where M(sup 2) is a compact Riemannian manifold. Upon integrating out the non-zero modes of the Chern-Simons field, an effective N-particle Hamiltoni...
The properties and interactions of gauge vortices are discussed in a variety of contexts. When quarks and leptons propagate in the background of a grand unified cosmic string, various baryon number violating processes can occur. We argue that, because of the pure gauge field that surrounds the string, the cross-sections for these processes are generically ...
We present a holographic realization of large N c massless QCD in two dimensions using a D2/ D8 brane construction. The flavor axial anomaly is dual to a three dimensional Chern-Simons term which turns out to be of leading order, and it affects the meson spectrum and holographic renormalization in crucial ways. The massless flavor bosons that exist in the spectrum are found ...
We analyze Chern-Simons field theory coupled to a nonrelativistic matter field on a sphere using canonical transformation on the fields with special attention to the role of the rotation symmetry: SO(3) invariance restricts the Hilbert space to the one with a definite number of charges and dictates the Dirac quantization condition to the Chern-Simons coefficient, whereas SO(2) ...
In this paper we study the structure of one dimensional topological solitons in a generalized Abelian-Higgs Chern-Simons model where the kinetic term is non-canonical. We present an example of an analytical self-dual electrically charged soliton solution which has a finite momentum per unit length along its direction. We compared the physical properties of ...
We consider the creation of non-zero Chern-Simons number in a model of the early Universe, where the Higgs field experiences a fast quench at the end of inflation and subsequently rolls down its potential barrier. Neglecting the expansion, we perform numerical lattice simulations in the Abelian Higgs model in 1+1 dimensions with an added phenomenological C ...
We introduce an exactly solvable SU(2)-invariant spin-1/2 model with exotic spin excitations. With time reversal symmetry (TRS), the ground state is a spin liquid with gapless or gapped spin-1 but fermionic excitations. When TRS is broken, the resulting spin liquid exhibits deconfined vortex excitations which carry spin-1/2 and obey non-Abelian statistics. We show that this ...
We examine a recent deformation of three-dimensional anti-de Sitter gravity based on noncommutative Chern Simons theory with gauge group U(1, 1) � U(1, 1). In addition to a noncommutative analogue of 3D gravity, the theory contains two gauge fields which decouple in the commutative limit. It is well known that ...
Using the superfield formalism, we study the dynamical breaking of gauge symmetry and superconformal invariance in the N=1 three-dimensional supersymmetric Chern-Simons model, coupled to a complex scalar superfield with a quartic self-coupling. This is an analogue of the conformally invariant Coleman-Weinberg model in four spacetime dimensions. We show ...
In temporal gauge A=0 the 3d Chern-Simons theory acquires quadratic action and an ultralocal propagator. This directly implies a 2d R-matrix representation for the correlators of Wilson lines (knot invariants), where only the crossing points of the contours projection on the xy plane contribute. Though the theory is quadratic, P-exponents remain ...
In d=3 dimensions the IOSp(dvertical stroke2) algebra admits a non-trivial modification. We show that 3-dimensional Chern-Simons theory in Landau gauge has a global symmetry based on this large Lie superalgebra. (orig.). (Atomindex citation 21:065259)
In this paper the quantization of a class of dynamical systems subject to second class constraints that allows an analysis in terms of associated gauge theories with first class constraints is discussed. The comparison with early approaches is done. The approach is applied to the self-dual formulation of spin one massive excitations in 3 dimensions. The quantum equivalence to ...
Noncommutative Chern-Simons gauge theory coupled to nonrelativistic scalars or spinors is shown to admit the ``exotic'' two-parameter-centrally extended Galilean symmetry, realized in a unique way consistent with the Seiberg-Witten map. Nontopological spinor vortices and topological external-field vortices are constructed by reducing the problem to ...
Flat connections for unitary gauge groups on a 3-torus with twisted boundary conditions as well as recently discovered periodic nontrivial flat connections with ''nondiagonalizable'' triples of holonomies for higher orthogonal and exceptional groups are constructed explicitly in terms of Jacobi theta functions with rational characteristics. ...
We discuss the interpretation of the three-dimensional N = 8 superconformal Chern-Simons-matter theory with the gauge group of volume preserving diffeomorphisms as a model describing a six-dimensional self-dual gauge field coupled to scalars and spinors and its possible relation to the M5-brane
A supersymmetric formulation of a three-dimensional super Yang-Mills-Chern-Simons theory using light-cone quantization is presented, and the supercharges are calculated in the light-cone gauge. The theory is dimensionally reduced by requiring all fields to be independent of the transverse dimension. The result is a nontrivial two-dimensional supersymmetric ...
The general procedure for obtaining explicit expressions for all cohomologies of Berkovits' operator is suggested. It is demonstrated that calculation of BV integral for the classical Chern Simons-like theory (Witten's OSFT-like theory) reproduces BV version of two-dimensional gauge model at the level of effective action. This model ...
A 2+1 dimensional model is presented which consists of two commuting non-relativistic fields with opposite abelian charges minimally coupled to an abelian Chern-Simons theory, which implements the fractional statistics. The model enjoys a discrete symmetry which prevents the ficticious magnetic field to develop a non-zero expectation ...
We construct finite mass, asymptotically flat black hole solutions in d=5 Einstein-Yang-Mills-Chern-Simons theory. Our results indicate the existence of a second order phase transition between Reissner-Nordstr�m solutions and the non-Abelian black holes which generically are thermodynamically preferred. Some of the non-Abelian ...
We construct finite mass, asymptotically flat black hole solutions in d=5 Einstein�Yang-Mills�Chern-Simons theory. Our results indicate the existence of a second order phase transition between Reissner-Nordstr�m solutions and the non-Abelian black holes which generically are thermodynamically preferred. Some of the non-Abelian ...
The expectation value of Wilson loop operators in three-dimensional SO(N) Chern-Simons gauge theory gives a known knot invariant: the Kauffman polynomial. Here this result is derived, at the first order, via a simple variational method. With the same procedure the skein relation for Sp(N) are also obtained. Jones polynomial arises as special cases: Sp(2), ...
We construct a lattice model of compact (2+1)-dimensional Maxwell-Chern-Simons theory, starting from its formulation in terms of gauge invariant quantities proposed by Deser and Jackiw. We thereby identify the topological excitations and their interactions. These consist of monopole-antimonopole pairs bounded by strings carrying both magnetic flux and ...
By making use of the U(1) gauge potential decomposition theory and the phi-mapping topological current theory, we investigate the Schr�dinger Chern Simons model in the thin-film superconductor system and obtain an exact Bogomolny self-dual equation with a topological term. It is revealed that there exist self-dual vortices in the ...
By integrating out the U(1) B gauge field, we show that the U( n) � U( n) ABJM theory at level k is equivalent to a {Z}_k identification of the ( {SU}(n) � {SU}(n)} ) ({SU}(n) � {SU}(n) ) {Z_n} Chern-Simons theory, but only when n and k are coprime. As a consequence, the k = 1 ABJM model for two M2-branes in {R}^8 can be identified with the N = ...
We show that for general spherically symmetric configurations, contributions of broad class of gravitational and mixed gauge-gravitational Chern-Simons (CS) terms to the equations of motion vanish identically in D > 3 dimensions. This implies that such terms in the action do not affect Birkhoff's theorem or any previously known spherically symmetric ...
If the second Betti number b{sub 2} of a Sasaki-Einstein manifold Y{sup 7} does not vanish, then M-theory on AdS{sub 4}xY{sup 7} possesses 'topological' U(1){sup b}{sub 2} gauge symmetry. The corresponding Abelian gauge fields come from three-form fluctuations with one index in AdS{sub 4} and the other two in Y{sup ...
The nonrelativistic ``Dirac`` equation of Levy-Leblond is used to describe a spin-1/2 particle interacting with a Chern-Simons gauge field. Static, purely magnetic, self-dual spinor vortices are constructed. The solution can be ``exported`` to a uniform magnetic background field.
The gauge-invariant correlation function for the Yang-Mills field strengths is shown to admit a symmetric decomposition into electric and magnetic components. The spectral weights are seen to obey a sum rule of the superconvergence type, owing to asymptotic freedom. The close relation between the dielectric function, electric-magnetic duality, and the algebra of generalized ...
Differential regularization is applied to a field theory of a non-relativistic charged boson field (phi) with (lambda)((phi)(sup *)(phi))(sup 2) self-interaction and coupling to a statistics-changing 0(1) Chern-Simons gauge field. Renormalized configurati...
Jackiw-Pi's model of the self-gravitating gas of nonrelativistic bosons coupled to the Chern-Simons gauge field is known to exhibit asymptotically vanishing, lump-like soliton solutions. We show that in order to extend this model to include the case of re...
We propose a new lattice method for calculating the Casimir energy for a U (1) gauge theory. Using this method, we analyze the standard problem of the Casimir interaction of two planar parallel plates with the boundary conditions induced by an additional Chern-Simons action localized on these boundary surfaces. From the physical standpoint, this boundary ...
We give an explicitly gauge-invariant canonical analysis of linearized quadratic gravity theories in three dimensions for both flat and de Sitter backgrounds. In flat backgrounds, we also study the effects of the gravitational Chern-Simons term, include the sources, and compute the weak field limit as well as scattering between spinning massive particles.
It is shown how techniques from constructive quantum field theory may be applied to indefinite metric gauge theories in Hilbert space for the case of a Higgs-Maxwell-Chern-Simons theory on a lattice. The Hamiltonian operator is shown to be Krein essentially self-adjoint by means of unbounded but Krein unitary transformations relating the Hamiltonian to an essentially maximal ...
In this paper the statistical properties of matter fields with anomalous magnetic momentum interacting with the Chern-Simmons-Maxwell (CSM) field are considered. It is shown that in the theory with pure Chern-Simons (CS) action the Semenoff gauge results in anyons with self- interaction. Even in the presence of the Maxwell term there is a particular ...
) theory or a massive KR theory [15]. For the sake of completeness, we summarize here the essential points as a gauge generator in linearized gravity theories Tomy Scaria 1 and Biswajit Chakraborty 2 S. N. Bose in the linearized Einstein-Chern-Simons theory in 2+1 dimensions. These rep- resentations are derived systematically
We present a systematic method for constructing consistent interactions for a tensor field of an arbitrary rank in the adjoint representation of an arbitrary gauge group in any space-time dimensions. This method is inspired by the dimensional reduction of Scherk-Schwarz, modifying field strengths with certain Chern-Simons forms, together with modified ...
We study an extension of the procedure to construct duality transformations among abelian gauge theories to the non abelian case.
We study the d=11 gravity dual AdS4�N(1,1) of the d=3 N=3 flavored Chern-Simons-matter theory. In the dual gravity side, we analyze the M5-brane filling AdS3 inside AdS4 and derive the quantized Hall conductivity of the dual gauge theory. In the gauge theory side, this M5-brane intersects the gauge theory at the ...
Contemporary topological research in Yang-Mills theory is reviewed, emphasizing the Chern-Simons terms and their relatives. Three applications of the Chern-Simons terms in physical theory are described: to help understanding gauge theories in even dimensional space-time; gauge field dynamics in odd dimensional space-time; and mathematically coherent ...
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We present f(?)(F??)2-type noncanonical and nonpolynomial interactions for an N=1 vector multiplet in three dimensions. We couple a Yang-Mills multiplet (A?I,?I) to a scalar multiplet (?,?), where ? appears in the arbitrary scalar function f(?) in the coupling ?f(?)(F??I)2. Supersymmetric Chern-Simons terms for the vector multiplet and a potential term for the scalar multiplet ...
We introduce a method that generates invariant functions from perturbative classical field theories depending on external parameters. By applying our methods to several field theories such as Abelian BF, Chern-Simons, and two-dimensional Yang-Mills theory, we obtain, respectively, the linking number for embedded submanifolds in compact varieties, the ...
We study topological properties of quasi-particle states in the non-Abelian quantum Hall states. We apply a skein-theoretic method to the Read-Rezayi state whose effective theory is the SU(2){sub K} Chern-Simons theory. As a generalization of the Pfaffian (K = 2) and the Fibonacci (K = 3) anyon states, we compute the braiding matrices of quasi-particle ...
We show that three dimensional Chern-Simons gauge theories with a compact gauge group G (not necessarily connected or simply connected) can be classified by the integer cohomology group H 4( BG, Z). In a similar way, possible Wess-Zumino interactions of such a group G are classified by H 3( G, Z). The relation between three dimensional ...
The generalized Chern-Simons structure of string field theory models represents the central thread that connects much of the work in this field. An analysis is made of the recent progress in string field theory with special emphasis on this structure. Open bosonic strings represent the template string model. At present we have a successful covariant, gauge ...
We find the canonical and Belinfante energy-momentum tensors and their nonzero traces. We note that the dilatation symmetry is broken and the divergence of the dilatation current is proportional to the topological mass of the gauge field. It was demonstrated that the gauge field possesses the `scale dimensionality' d=1/2. ...
Using the compatibility of the anomalous Chern-Simons couplings on D p -branes with the linear T-duality and with the antisymmetric B-field gauge transformations, some couplings have been recently found for C ( p-3) at order O( ?'2). We examine these couplings with the S-matrix element of one RR and two antisymmetric B-field vertex operators. We find that ...
We show that the recently developed Chern-Simons gauge theory for fractional quantum Hall effect leads naturally to a striking prediction that an applied gate voltage coupled to an isolated region in a two-dimensional electron gas can induce Little-Parks oscillations of the longitudinal conductance in the quantum Hall devices at odd denominator filling ...
We construct the general couplings of linear multiplets, including Chern-Simons forms, to chiral matter as well as to the standard supergravity-matter system. Insisting on a canonically normalized Einstein term we discuss in particular the appearance of non-holomorphic gauge couplings and perform duality transformations in full generality. We present the ...
The generating functional for hard thermal loops in quantum chromodynamics is important in setting up a resummed thermal perturbation theory, so that all terms of a given order in the coupling constant can be consistently taken into account. It is also the functional which leads to a gauge-invariant description of Debye screening and plasma waves in the quark-gluon plasma. We ...
It is shown that the flux quantization of the nonrelativistic Chern-Simons soliton solutions is due to the inversion symmetry of the system.
We construct and study a new topological field theory in three dimensions. It is a hybrid between Chern-Simons and Rozansky-Witten theory and can be regarded as a topologically-twisted version of the N=4d=3 supersymmetric gauge theory recently discovered by Gaiotto and Witten. The model depends on a gauge group G and a hyper-K�hler ...
We derive some new relationships between matrix models of Chern-Simons gauge theory and of two-dimensional Yang-Mills theory. We show that q-integration of the Stieltjes-Wigert matrix model is the discrete matrix model that describes q-deformed Yang-Mills theory on S2. We demonstrate that the semiclassical limit of the Chern-Simons matrix model is equivalent to the ...
We study BPS solitons in Script N = 6 U(N) � U(N) Chern-Simons-matter theory deformed by an F-term mass. The F-term mass generically breaks Script N = 6 supersymmetry down to Script N = 2. At vacua, M2-branes are polarized into a fuzzy S3 forming a spherical M5-brane with topology R1,2 � S3. The polarization is interpreted as Myers' dielectric effect caused by an ...
The order-disorder duality structure is exploited in order to obtain a quantum description of anyons and vortices in: (a) the Maxwell theory; (b) the Abelian Higgs model; (c) the Maxwell Chern-Simons theory; (d) the Maxwell Chern-Simons-Higgs theory. A careful construction of a charge bearing order operator ([sigma]) and a magnetic ...
In order to further test't Hooft's confinement mechanism, we have carried out Monte Carlo calculations of 'abelian' Wilson loops, and the color distribution of electric flux, in certain maximal abelian gauges of SU(2) lattice gauge theory. The electric fl...
This thesis addresses three topics: calculation of the invariant measure for the pure Yang-Mills configuration space in (3 + 1) dimensions, Hamiltonian analysis of the pure Chern-Simons theory on the noncommutative plane and noncommutative quantum mechanics in the presence of singular potentials. In Chapter 1 we consider a gauge-invariant Hamiltonian ...
We extend the hermitian three-algebra formulation of ABJM theory to include U(1) factors. With attention payed to extra U(1) factors, we refine the classification of mathcal{N} = 6 ABJM theories. We argue that essentially the only allowed gauge groups are SU( N) � SU( N), U( N) � U( M) and Sp( N) � U(1) and that we have only one independent ...
The interaction between Chern-Simons (CS) theories and localized external sources (2p-branes) is analyzed. This interaction generalizes the minimal coupling between a point charge (0-brane) and a gauge connection. The external currents that define the 2p branes are covariantly constant (D-2p-1)-forms coupled to (2p-1) CS forms. The general expression for ...
We compute a certain index for an N=4 Chern-Simons theory with gauge group U(N in the large N limit with taking account of monopole contribution, and compare it to the corresponding multi-particle index for M-theory in the dual geometry AdS�X. The internal space X has non-trivial two-cycles, and M2-branes wrapped on them contribute to the multi-particle ...
We generate from the static charged BTZ black hole a family of spinning charged solutions to the Einstein-Maxwell equations in 2+1 dimensions. These solutions go over, in a suitable limit, to self-dual spinning charged solutions, which are horizonless and regular, with logarithmically divergent mass and spin. To cure this divergence, we add a topological Chern-Simons term to ...
The origin of entanglement in a class of three-dimensional spin models, at low momenta, is traced to topological reasons. The establishment of the result is facilitated by the gauge principle which, in conjunction with the duality mapping of the spin models, enables us to recast them as lattice Chern-Simons theories. The entanglement measures are expressed ...
We compute the physical charges and discuss the properties of a large class of five-dimensional extremal AdS black holes by using the near horizon data. Our examples include baryonic and electromagnetic black branes, as well as supersymmetric spinning black holes. In the presence of the gauge Chern�Simons term, the five-dimensional physical charges are ...
The authors note that in (2+1)-dimensional gauge theories with even number of massless fermions, there is anomalous Z{sub 2} symmetry if theory is regularized in a parity-invariant way. They then consider a parity invariant U(1){sub v} {times} U(1){sub A} model, which induces a mutual Chern-Simons term in the effective action due to Z{sub 2} anomaly. The ...
We present a general method for the computation of tree-level superpotentials for the world-volume theory of B-type D-branes. This includes quiver gauge theories in the case that the D-brane is marginally stable. The technique involves analyzing the A-infinity structure inherent in the derived category of coherent sheaves. This effectively gives a practical method of computing ...
In this paper, we investigate the topological Hubbard model, the spinful Haldane model with on-site interaction on honeycomb lattice with spin-rotation symmetry by using the slave-rotor approach, and find that chiral spin liquid exists in such a correlated electron system of the intermediate coupling region. By considering the anyon nature of excitations, chiral spin liquid may be the ground state ...
We show how the vacuum expectation value of the Wilson loop of the trivial knot in the left-regular representation in a Chern-Simons theory is basically the partition function for a quantum particle confined to a certain bounded region (namely, an alcove of the gauge group Lie algebra). For example, for su(3) the particle is confined to an equilateral triangle. The result ...
In this paper the authors prove, working in the Hamiltonian formalism, that a U(1) Chern-Simons theory coupled to fermions on a lattice can be mapped exactly onto a theory of interacting lattice anyons. This map does not involve any singular gauge transformations, and is everywhere well defined. The authors also prove that, when the statistics parameter is ...
A recently proposed new gauge invariant formulation of the Chern-Simons gauge theory is considered in detail. This formulation is consistent with the gauge fixed formulation. Furthermore, it is found that the canonical (Noether) Poincar� generators are not gauge invariant even on the constraints surface and do ...
We propose a new nonrelativistic Chern-Simons theory based on a simple modification of the standard Lagrangian. This admits asymptotically nonvanishing field configurations and is applicable to the description of systems of repulsive bosons. The new model supports topological vortices and has a self-dual limit, both in the pure Chern-Simons and in the ...
In this paper we present a theory of Singlet Quantum Hall Effect (SQHE). We show that the Halperin-Haldane SQHE wave function can be written in the form of a product of a wave function for charged semions in a magnetic field and a wave function for the Chiral Spin Liquid of neutral spin-{1/2} semions. We introduce field-theoretic model in which the electron operators are factorized in terms of ...
The combined effects of the Lorentz-symmetry violating Chern-Simons and Ricci-Cotton actions are investigated for the Einstein-Hilbert gravity in the second-order formalism modified by higher derivative terms, and their consequences on the spectrum of excitations are analyzed. We follow the lines of previous works and build up an orthonormal basis of projector-like operators ...
We show that different classes of topological order can be distinguished by the dynamical symmetry algebra of edge excitations. A fundamental topological order is realized when this algebra is the largest possible, the algebra of quantum area-preserving diffeomorphisms, called W1 + ?. We argue that this order is realized in the Jain hierarchy of fractional quantum Hall states and show that it is ...
We investigate finite energy solutions of the Einstein-Yang-Mills-Chern-Simons system in odd spacetime dimensions, D=2n+1, with n>1. Our configurations are static and spherically symmetric, approaching at infinity a Minkowski spacetime background. In contrast with the Abelian case, the contribution of the Chern-Simons term is nontrivial already in the static, spherically ...
By generalizing a model previously proposed, a classical nonrelativistic U(1)� U(1) gauge field model for the electromagnetic interaction of composite particles in (2+1) dimensions is constructed. The model contains a Chern Simons U(1) field and the electromagnetic U(1) field, and it describes both a composite boson system or a ...
We point out that a QCD axion solving the strong CP problem can arise naturally from a parity-odd gauge field in five-dimensional (5D) orbifold field theory. The required axion coupling to the QCD anomaly comes from the 5D Chern-Simons coupling, and all other unwanted U(1)PQ breaking axion couplings can be avoided naturally by the 5D ...
We present a detailed analysis of the quantum field theory of a Chern-Simons field coupled minimally to massive charged bosonic matter. This analysis is carried out in the Coulomb and covariant gauges. Some aspects concerning the transformation law of the fields under Poincare transformations are clarified. Emphasis is placed on gauge-invariant operators. ...
The quantization for a system with a singular Lagrangian containing subsidiary constrained conditions in configuration space is studied. The system is called constrained singular system. In certain case, the constrained singular system can be brought into the theoretical framework of the constrained Hamilton system. A modified Dirac-Bergmann algorithm for the calculation of constraints in the ...
We investigate the canonical quantization of gravity coupled to pointlike matter in 2+1 dimensions, starting from the usual point particle action, and working in the first order formalism. By introducing an auxiliary variable, we make the theory locally Poincare invariant. The enlarged symmetry group simplifies the analysis of diffeomorphism invariance. In the passage to the quantum theory, a ...
We investigate the effect of adding a Chern-Simons term coupled to an axion field to SU(2) Einstein-Yang-Mills in a fixed AdS 4/Schwarzschild background. We show that, when the axion has no potential, there is a phase transition between a Reissner-Nordstrom black-hole and one with a non-abelian condensate as per the vanishing Chern-Simons case. ...
Collective oscillations of matter interacting via a classical non-Abelian gauge field are discussed. General equations of motion are derived. Every gauge group is shown to lead to effectively Abelian oscillations corresponding to oscillations of the addit...
It is shown how one can formulate an action principle for classical Abelian gauge theories not by means of gauge potentials and currents but in terms of the gauge invariant field strengths and gauge variant stream potentias. The discussion is on a general...
A confined magnetic flux solution of finite length and finite energy, arising from non-Abelian-gauge theory, is presented. (AIP)
A brief review on the progress made in the study of Chern-Simons gauge theory since its relation to knot theory was discovered ten years ago is presented. Emphasis is made on the analysis of the perturbative study of the theory and its connection to the theory of Vassiliev invariants. It is described how the study of the quantum field theory for three different ...
The Chern�Simons theory defined on a three-dimensional manifold with boundary is written as a two-dimensional field theory defined only on the boundary of the three-manifold. The resulting theory is, essentially, the pull-back to the boundary of a symplectic structure defined on the space of auxiliary fields in terms of which the connection one-form of the Chern�Simons theory is expressed when ...
We show that there exists an exponentially large discretuum of vacua in G{sub 2}-compactifications of M-theory without flux. In M-theory-inspired G{sub 2}-MSSM, quantities relevant for particle physics remain virtually insensitive to large variations of the vacuum energy across the landscape. The purely non-perturbative vacua form a special subset of a more general class of vacua containing ...
We have performed a holographic calculation of the hadronic contributions to the anomalous magnetic moment of the muon, using the gauge/gravity duality. As a gravity dual model of QCD with three light flavors, we study a U(3�U(3 flavor gauge theory in the five-dimensional AdS background with a hard-wall cutoff. The anomalous (electromagnetic) form ...
Differential regularization is applied to a field theory of a nonrelativistic charged boson field ? with ?(?*?)2 self-interaction and coupling to a statistics-changing U(1) Chern-Simons gauge field. Renormalized configuration-space amplitudes for all diagrams contributing to the ?*?*?? four-point function, which is the only primitively divergent Green's ...
We consider the most general SU(3) singlet space of gauged { N}=8 supergravity in four dimensions. The SU(3)-invariant six scalar fields in the theory can be viewed in terms of six real four-forms. By exponentiating these four-forms, we eventually obtain the new scalar potential. For the two extreme limits, we reproduce the previous results found by Warner in 1983. In ...
We consider a modification of electrodynamics by an additional light massive vector field, interacting with the photon via Chern Simons-like coupling. This theory predicts observable effects for the experiments studying the propagation of light in an external magnetic field, very similar to those, predicted by theories of axion and axion-like particles. We ...
Abelian mechanism of non-Abelian color confinement is observed in a gauge-independent way by high precision lattice Monte Carlo simulations in gluodynamics. An Abelian gauge field is extracted with no gauge fixing. Then we decompose the Abelian field ...
Extended Abelian monopoles are investigated in SU(2) lattice gauge theory in three dimensions. Monopoles are computed by Abelian projection in several gauges, including the maximal Abelian gauge. The number [ital N][sub [ital m
Generalization of the notion of non-integrable phase is proposed for the case of non-abelian gauge field. It gives an opportunity of the consistent description on non-abelian magnetic charges, if quantization rule is fulfilled. The non-abelian analogies o...
Our aim in this note is to clarify a relationship between covariant Chern-Simons 3-dimensional theory and Schwartz type topological field theory known also as BF theory.
In this paper, we study the relativistic Maxwell�Chern�Simons vortices on an asymptotically flat cylinder. A topological multivortex solution is constructed by variational methods, and the Maxwell and the Chern�Simons limits are verified.
We propose a contour integral formula for scattering amplitudes of the N=6 supersymmetric Chern�Simons theory, and use it to give a formal proof for Yangian invariance of all tree level super-amplitudes.
We show that the coefficient of the three-dimensional Chern-Simons action on the noncommutative plane must be quantized. Similar considerations apply in other dimensions as well. PMID:11461544
We calculate the gravitational corrections to the Yang-Mills Chern-Simons term in three dimensions. Consistency requires the gravitational and the Yang-Mills mass parameters to be equal. Supersymmetry is used to relate previous results to each other.
Within the superfield approach, we prove the absence of UV/IR mixing in the three-dimensional noncommutative supersymmetric Maxwell-Chern-Simons theory at any loop order and demonstrate its finiteness in one, three, and higher loop orders.
A B{umlt a}cklund transformation yielding the static nonrelativistic Chern-Simons vortices of Jackiw and Pi is presented. {copyright} {ital 1996 The American Physical Society.}
We study all possible deformations of the Maxwell algebra. In D = d+1not =3 dimensions there is only one-parameter deformation. The deformed algebra is isomorphic to so(d+1, 1)+so(d, 1) or to so(d, 2)+so(d, 1) depending on the signs of the deformation parameter. We construct in the dS(AdS) space a model of massive particle interacting with Abelian vector field via nonlocal ...
We study all possible deformations of the Maxwell algebra. In D = d+1?3 dimensions there is only one-parameter deformation. The deformed algebra is isomorphic to so (d+1, 1) ? so (d, 1) or to so (d, 2) ? so (d, 1) depending on the signs of the deformation parameter. We construct in the dS (AdS) space a model of massive particle interacting with Abelian vector field via ...
We study Wilson loops in N=6 superconformal Chern-Simons theory with gauge group U(M)�overline{U(N)} that is dual to N M2-branes and ( M? N) fractional M2-branes, or equivalently, discrete 3-form holonomy at C4/Zk orbifold singularity. We give a description of these Wilson loops in terms of macroscopic fundamental string and D6-branes in the dual AdS ...
The supersymmetric extension of the gravitational Chern-Simons term in three-dimensional spacetime coincides with three-dimensional conformal supergravity. The action reads I=?ABRB?A+(1/6)fABC?C ?B?A, with ?AB the Killing supermetric and fABC the structure constants of Osp(1/4). The constraints read Rm??(P)=0, R???(Q)=0, and R?? mn(M)=0. Even when auxiliary fields close the ...
Using the connection between (2+1) Chern-Simons gauge theory and 2d Conformal Field Theory, the on-shell string condition is obtained as a condition of the full independence of the interior of a (2+1) world. The new method for off-shell continuation is considered based on the introduction of the Maxwell term in (2+1) theory. This leads to a dynamical ...
Using branes in massive Type IIA string theory, and a novel decoupling limit, we provide an explicit correspondence between non-commutative Chern-Simons theory and the fractional quantum Hall fluid. The role of the electrons is played by D-particles, the background magnetic field corresponds to a RR 2-form flux, and the two-dimensional fluid is described by non-commutative ...
We study relativistic self-dual Chern-Simons-Higgs systems in the presence of uniform background fields that explicitly break {ital CTP}. A rich, but discrete vacuum structure is found when the gauge symmetry is spontaneously broken, while the symmetric phase can have an infinite vacuum degeneracy at the tree level. The latter is due to the proliferation ...
A 2+1 dimensional deSitter Chern-Simons theory has been constructed and shown to be consistent. Wilson loop variables have been computed and shown to close under Poisson bracket operation for N = 2 Poincare supergravity. It has also been shown that there are two equivalent pictures of describing two particle scattering in 2+1 dimensional gravity theory, which are related by ...
We investigate the recently developed theory of multiple membranes. In particular, we consider open membranes, i.e. the theory defined on a membrane world volume with a boundary. We first restrict our attention to the gauge sector of the theory. We obtain a boundary action from the Chern-Simons terms. Secondly, we consider the addition of certain boundary terms to various ...
The CP nonconserving portion of the gauge-field effective action for an even number of left-handed SU(2) fermion doublets, with nonzero chemical potentials ..mu../sup i/, is calculated to leading order in the inverse temperature, T/sup -1/. It is shown to be i summation/sub i/ (..mu../sup 1//T)W(A), where W(A) is the Chern-Simons topological mass term. This result is also ...
We revisit a theory of nonequilibrium single-skyrmion transport in two-dimensional double-exchange ferromagnets with the Rashba spin-orbit interaction. Combining the collective-coordinate approach with the Keldysh formalism and an effective U(1) gauge theory, the velocity of a skyrmion core is calculated under the electric field. Then, it is found that the emergent ...
In this paper, the authors study the quantum field theory of non-relativistic bosons coupled to a Chern-Simons gauge field at nonzero particle density. This field theory is relevant to the study of anyon superconductors in which the anyons are described as bosons with a statistical interaction. The authors show that it is possible to find a mean field solution to the equations ...
The attractor mechanism in five dimensional Einstein-Maxwell Chern-Simons theory is studied. The expression of the five-dimensional rotating black object potential depending on Taub-Newman-Unti-Tamburino, electric and magnetic charges as well as on all the scalar and gauge fields, is investigated. The first order formalism in d=5 is constructed and ...
We compute the exact finite temperature effective action in a (0+1)-dimensional field theory containing a topological Chern-Simons term, which has many features in common with (2+1)-dimensional Chern-Simons theories. This exact result explains the origin and meaning of puzzling temperature dependent coefficients found in various naive perturbative ...
We explore vortex formation for Abelian projected SU(2) in the Polyakov gauge and compare the results with those calculated in the maximal Abelian gauge. In both gauges, a nonzero vacuum expectation value of a monopole field operator signals confinement. We find vortices in the Polyakov ...
We study an anisotropic inflation model with a gauge kinetic function for a non-abelian gauge field. We find that, in contrast to abelian models, the anisotropy can be either a prolate or an oblate type, which could lead to a different prediction from abelian models for the statistical ...
We construct a non-Abelian gauge theory of chiral 2-forms (self-dual gauge fields) in 6 dimensions with a spatial direction compactified on a circle of radius R. It has the following two properties. (1) It reduces to the Yang-Mills theory in 5 dimensions for small R. (2) It is equivalent to the Lorentz-invariant theory of ...
It is shown that Wess-Zumino-Witten (WZW) type actions can be constructed in odd dimensional space-times using Wilson line or Wilson loop. WZW action constructed using Wilson line gives anomalous gauge variations and the WZW action constructed using Wilson loop gives anomalous chiral transformation. We show that pure gauge theory including Yang-Mills ...
Localization methods reduce the path integrals in N?2 supersymmetric Chern-Simons gauge theories on S3 to multimatrix integrals. A recent evaluation of such a two-matrix integral for the N=6 superconformal U(N)�U(N) Aharony-Bergman-Jafferis-Maldacena theory produced detailed agreement with the AdS/CFT correspondence, explaining, in particular, the N3/2 ...
We derive the full Wess-Zumino-Witten term of a gauged chiral Lagrangian in D=4 by starting from a pure Yang-Mills theory of gauged quark flavor in a flat, compactified D=5. The theory is compactified such that there exists a B{sub 5} zero mode, and supplemented with quarks that are 'chirally delocalized' with q{sub L} (q{sub R}) on the ...
review briefly how and why our attention was drawn to the non�Abelian gauge theory in describing strong to the dielectric constant of the vacuum in QED is the inverse of the renormalization constant of the color gauge is a consequence of an unbroken non�Abelian gauge symmetry and the ...
