English
Related papers

Related papers: Universality in Chern-Simons theory

200 papers

We present a new, alternative interpretation of the vector-tensor multiplet as a 2-form in central charge superspace. This approach provides a geometric description of the (non-trivial) central charge transformations ab initio and is…

High Energy Physics - Theory · Physics 2009-10-30 Richard Grimm , Maximilian Hasler , Carl Herrmann

We study the role of "$\theta$ terms" in the action for three-dimensional $U(1)$ symmetric tensor gauge theories, describing quantum phases of matter hosting gapless higher-spin gauge modes and gapped subdimensional particle excitations,…

Strongly Correlated Electrons · Physics 2017-10-04 Michael Pretko

Various applications of Chern-Simons theory in algebraic topology, in particular knot theory, condensed matter physics and cosmology are reviewed. Special attention is paid to appearances of Chern-Simons actions in the theory of the…

Mathematical Physics · Physics 2026-03-27 Jürg Fröhlich

We discuss the generalization of Abelian Chern-Simons theories when $\theta $-angles and magnetic monopoles are included. We map sectors of two dimensional Conformal Field Theories into these three dimensional theories.

High Energy Physics - Theory · Physics 2015-06-26 Marco A. C. Kneipp

Chern-Simons Theories with gauge super-groups appear naturally in string theory and they possess interesting applications in mathematics, e.g. for the construction of knot and link invariants. This paper is the first in a series where we…

High Energy Physics - Theory · Physics 2018-11-26 N. Aghaei , A. M. Gainutdinov , M. Pawelkiewicz , V. Schomerus

Chern-Simons orbital magnetoelectric (OME) coupling is usually the hallmark of nontrivial band topology in three-dimensional (3D) crystalline insulators. However, if a 3D insulator exhibits nonzero Chern number within any two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-02-20 Yang Xue , Jianpeng Liu

We use a geometric generalization of the Seiberg-Witten map between noncommutative and commutative gauge theories to find the expansion of noncommutative Chern-Simons (CS) theory in any odd dimension $D$ and at first order in the…

High Energy Physics - Theory · Physics 2015-06-22 Paolo Aschieri , Leonardo Castellani

We consider Chern-Simons gauge theory on a torus with both nonrelativistic and relativistic matter. It is shown that the Hamiltonian and two total momenta commute among themselves only in the physical Hilbert space. We also discuss…

High Energy Physics - Theory · Physics 2009-10-22 Choon-Lin Ho , Yutaka Hosotani

Berry connection is conventionally defined as a static gauge field in the Brillouin zone. Here we show that for three-dimensional (3d) time-reversal invariant superconductors, a generalized Berry gauge field behaves as a fluctuating field…

Mesoscale and Nanoscale Physics · Physics 2017-03-29 Biao Lian , Cumrun Vafa , Farzan Vafa , Shou-Cheng Zhang

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

We consider the Dunne-Jackiw-Pi-Trugenberger model of a U(N) Chern-Simons gauge theory coupled to a nonrelativistic complex adjoint matter on noncommutative space. Soliton configurations of this model are related the solutions of the chiral…

High Energy Physics - Theory · Physics 2009-11-10 Ki-Myeong Lee

We give a generalization of Fukaya's Morse homotopy theoretic approach for 2-loop Chern--Simons perturbation theory to 3-valent graphs with arbitrary number of loops at least 2. We construct a sequence of invariants of integral homology…

Geometric Topology · Mathematics 2015-05-08 Tadayuki Watanabe

Intertwined multiple Chern-Simons gauge fields induce matrix statistics among particles. We analyse this theory on a torus, focusing on the vacuum structure and the Hilbert space. The theory can be mimicked, although not completely, by an…

High Energy Physics - Theory · Physics 2010-11-01 D. Wesolowski , Y. Hosotani , C. -L. Ho

Wilson loops are among the most fundamental gauge-invariant observables in quantum field theory, encoding the global structure of gauge fields through their holonomy along closed contours. Originally introduced as order parameters for…

High Energy Physics - Theory · Physics 2026-02-20 Tetiana Obikhod , Ievgenii Petrenko

I point out that the $U(N)$ Chern-Simons $3d$ theory coupled to fermions at finite temperature and at a specific mean field approximation and the $3d$ Gross-Neveu model at finite temperature and imaginary chemical potential can give us the…

High Energy Physics - Theory · Physics 2023-07-18 Evangelos G. Filothodoros

We compute the spin of both the topological and nontopological solitons of the Chern - Simons - Higgs model by using our approach based on constrained analysis. We also propose an extension of our method to the non - relativistic Chern -…

High Energy Physics - Theory · Physics 2009-10-31 R. Banerjee , P. Mukherjee

The general method of reduction in the number of coupling parameters is applied in a Chern-Simons-matter model with several independent couplings. We claim that considering the asymptotic region, and expressing all dimensionless coupling…

High Energy Physics - Theory · Physics 2009-10-31 J. L. Acebal , D. H. T. Franco

We propose Chern-Simons models of fractional-spin fields interacting with ordinary tensorial higher-spin fields and internal color gauge fields. For integer and half-integer values of the fractional spins, the model reduces to finite sets…

High Energy Physics - Theory · Physics 2015-06-17 Nicolas Boulanger , Per Sundell , Mauricio Valenzuela

We study globally supersymmetric 3d gauge theories on curved manifolds by describing the coupling of 3d topological gauge theories, with both Yang-Mills and Chern-Simons terms in the action, to background topological gravity. In our…

High Energy Physics - Theory · Physics 2015-10-16 Camillo Imbimbo , Dario Rosa

We examine the nonperturbative structure of the radiatively induced Chern-Simons term in a Lorentz- and CPT-violating modification of QED. Although the coefficient of the induced Chern-Simons term is in general undetermined, the…

High Energy Physics - Theory · Physics 2007-05-23 B. Altschul