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Related papers: Chern-Simons Gauge Theory coupled with BF Theory

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We investigate the covariant formulation of Chern-Simons theories in a general odd dimension which can be obtained by introducing a vacuum connection field as a reference. Field equations, Noether currents and superpotentials are computed…

High Energy Physics - Theory · Physics 2008-11-26 A. Borowiec , L. Fatibene , M. Ferraris , M. Francaviglia

The equivalence between the Chern-Simons gauge theory on a three-dimensional manifold with boundary and the WZNW model on the boundary is established in a simple and general way using the BRST symmetry. Our approach is based on restoring…

High Energy Physics - Theory · Physics 2009-10-31 Jens Fjelstad , Stephen Hwang

We analyse the Abelian $N=1$ super-Chern-Simons model coupled to parity-preserving matter in linear and non-linear gauges with exact BRST invariance. Then we analyse the theory in field/antifield formulation to discuss the model at quantum…

High Energy Physics - Theory · Physics 2014-01-14 Sudhaker Upadhyay

We consider $AdS_3$ $N$-extended Chern-Simons supergravity (\`a la Achucarro-Tonswend) and we study its gauge symmetries. We promote those gauge symmetries to a BRST symmetry and we perform its quantization by choosing suitable…

High Energy Physics - Theory · Physics 2019-06-26 L. Andrianopoli , B. L. Cerchiai , P. A. Grassi , M. Trigiante

The Chern-Simons (CS) theory in three dimensions with a compact gauge group G is studied. Starting from the BRST quantization of the theory defined in R^3, the values of gauge invariants observables are computed in any closed and orientable…

High Energy Physics - Theory · Physics 2009-09-25 Luigi Pilo

We study symmetry reductions in the context of Euclidean Chern-Simons gauge theories to obtain lower dimensional field theories. Symmetry reduction in certain gauge theories is a common tool for obtaining explicit soliton solutions.…

High Energy Physics - Theory · Physics 2024-07-30 Burak Oğuz , Bayram Tekin

We study symmetry reductions in the context of Euclidean Chern-Simons gauge theories to obtain lower dimensional field theories. Symmetry reduction in certain gauge theories is a common tool for obtaining explicit soliton solutions.…

High Energy Physics - Theory · Physics 2024-10-30 Burak Oğuz , Bayram Tekin

We explore the possibilities for constructing Lagrangian descriptions of three-dimensional superconformal classical gauge theories that contain a Chern-Simons term, but no kinetic term, for the gauge fields. Classes of such theories with N…

High Energy Physics - Theory · Physics 2008-11-26 John H. Schwarz

Three-dimensional gauge theories coupled to fermions can develop interesting nonperturbative dynamics. Here we study in detail the dynamics of $SU(N)$ gauge theories coupled to a Dirac fermion in the rank-two symmetric and antisymmetric…

High Energy Physics - Theory · Physics 2018-10-19 Changha Choi , Diego Delmastro , Jaume Gomis , Zohar Komargodski

By coupling {\cal N}=8 superconformal matter to {\cal N}=8 superconformal Chern-Simons gravity in three dimensions we obtain theories with novel terms in the scalar potential leading to AdS_3 solutions and superconformal symmetry breaking.…

High Energy Physics - Theory · Physics 2015-06-04 Ulf Gran , Jesper Greitz , Paul Howe , Bengt E. W. Nilsson

The topological non-Abelian Chern-Simons theory with a boundary is shown to require a scalar field companion in order to preserve overall gauge-invariance both in the 3 dimensional manifold, as well as on its boundary. This scalar field,…

High Energy Physics - Theory · Physics 2017-05-04 Kumar Abhinav , Samir K. Paul

In the present article, Chern-Simons gauge theory and its relationship with gravity are revisited from a geometrical viewpoint. In this setting, our goals are twofold: In one hand, to show how to represent the family of variational problems…

Mathematical Physics · Physics 2020-04-24 Santiago Capriotti

We study the three-dimensional theory of two Chern-Simons gauge fields coupled to a scalar field in the bifundamental representation of the $SU(N)_k \times SU(M)_{-k}$ gauge group. At small but fixed $M \ll N$, this system approaches the…

High Energy Physics - Theory · Physics 2015-06-16 Shamik Banerjee , Djordje Radicevic

Topological gauge theories constitute a framework for understanding strongly correlated quantum matter in terms of weakly interacting composite degrees of freedom. Their topological properties become evident when these theories are realized…

Quantum Gases · Physics 2025-11-12 Claudio Iacovelli , Josep Cabedo , Leticia Tarruell , Alessio Celi

We formulate interacting antisymmetric tensor gauge theory in a configuration space consisting of a pair of dual field strengths which has a natural symplectic structure. The field equations are formulated as the intersection of a pair of…

High Energy Physics - Theory · Physics 2026-02-03 Chris Hull , Maxim Zabzine

We show that Chern-Simons gauge theory with appropriate cutoffs is equivalent, term by term in perturbation theory, to a Fermionic theory with a nonlocal interaction term. When an additional cutoff is placed on the Fermi fields, this…

Mathematical Physics · Physics 2009-02-22 Jonathan Weitsman

The topological supersymmetry of the pure Chern-Simons model in three dimensions is established in the case where the theory is defined in the axial gauge.

High Energy Physics - Theory · Physics 2009-10-22 A. Brandhuber , M. Langer , M. Schweda , O. Piguet , S. P. Sorella

We revisit the 3d ${\cal N}=5$ Chern-Simons-Matter theory with orthosymplectic gauge group and its gravity dual from the perspective of generalized symmetries. We derive the corresponding 4d symmetry topological field theory from the…

High Energy Physics - Theory · Physics 2025-01-08 Oren Bergman , Francesco Mignosa

We study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra…

High Energy Physics - Theory · Physics 2007-05-23 Won Tae Kim , Myung Seok Yoon

We discuss the behavior of theories of fermions coupled to Chern-Simons gauge fields with a non-abelian gauge group in three dimensions and at finite temperature. Using non-perturbative arguments and gauge invariance, and in contradiction…

High Energy Physics - Theory · Physics 2019-08-15 Daniel Cabra , Eduardo Fradkin , Gerardo L. Rossini , Fidel A. Schaposnik