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Related papers: Chern-Simons Theory in SIM(1) Superspace

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We study the geometric optics limit of the electrodynamics in the presence of Lorentz violating Chern-Simons term in (3+1) dimensions. The Chern-Simons term couples the dual electromagnetic tensor to an external four-vector and the…

High Energy Physics - Phenomenology · Physics 2025-01-07 Arpan Das , Hriditi Howlader , Alekha C. Nayak

We propose three-dimensional N=6 superconformal U(N) X U(M) and SU(N) X SU(N) Chern-Simons gauge theories with two pairs of bifundamental chiral superfields in the (N, M) and (\overline{N}, \overline{M}) representations and in the (N, N)…

High Energy Physics - Theory · Physics 2008-10-14 Tianjun Li

We construct a Chern-Simons gauge theory for dg Lie and L-infinity algebras on any one-dimensional manifold and quantize this theory using the Batalin-Vilkovisky formalism and Costello's renormalization techniques. Koszul duality and…

Quantum Algebra · Mathematics 2014-11-11 Ryan Grady , Owen Gwilliam

In the present work, we study different aspects of Lorentz and CPT symmetry violation in extended massless QED. By following the observation that the 2+1 dimensional Maxwell-Chern-Simons theory can be originated from the 3+1 dimensional…

High Energy Physics - Theory · Physics 2009-01-01 F. A. Brito , L. S. Grigorio , M. S. Guimaraes , E. Passos , C. Wotzasek

We propose a superfield method to construct off-shell actions for N-extended conformal supergravity theories in three space-time dimensions. It makes use of the superform technique to engineer supersymmetric invariants. The method is…

High Energy Physics - Theory · Physics 2017-12-13 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We construct an example of supersymmetric Chern-Simons-matter theory with a matter field transforming as a singlet representation of the supersymmetry algebra, where the bosonic and fermionic degrees of freedom do not match. This is…

High Energy Physics - Theory · Physics 2009-04-24 Yu Nakayama , Makoto Sakaguchi , Kentaroh Yoshida

Chern-Simons gauge theory is formulated on three dimensional $Z_2$ orbifolds. The locus of singular points on a given orbifold is equivalent to a link of Wilson lines. This allows one to reduce any correlation function on orbifolds to a sum…

High Energy Physics - Theory · Physics 2009-12-15 Petr Horava

The level-k U(1) Chern-Simons theory is a spin topological quantum field theory for k odd. Its dynamics is captured by the 2d CFT of a compact boson with a certain radius. Recently it was recognized that a dependence on the 2d spin…

High Energy Physics - Theory · Physics 2021-02-03 Takuya Okuda , Koichi Saito , Shuichi Yokoyama

These notes provide a detailed account of the universal structure of superpotentials defining a large class of superconformal Chern-Simons theories with matter, many of which appear as the low-energy descriptions of multiple M2-brane…

High Energy Physics - Theory · Physics 2009-11-18 Paul de Medeiros , José Figueroa-O'Farrill , Elena Méndez-Escobar

Recent studies of the $AdS_4/CFT_3$ correspondence involve the construction of a peculiar supersymmetric gauge theory on the worldvolume of multiple M2s branes as a boundary field theory. Under suitable conditions the quantum theory becomes…

High Energy Physics - Theory · Physics 2011-06-28 Sendic Estrada-Jimenez , Hugo Garcia-Compean

The $\mathrm{U}(1)$ Chern-Simons theory can be extended to a topological $\mathrm{U}(1)^n$ theory by taking a combination of Chern-Simons and BF actions, the mixing being achieved with the help of a collection of integer coupling constants.…

Mathematical Physics · Physics 2025-07-09 Han-Miru Kim , Philippe Mathieu , Michail Tagaris , Frank Thuillier

In this work, we study the three-dimensional non-Abelian noncommutative supersymmetric Chern-Simons model with the U(N) gauge group. Using a superfield formulation, we prove that, for the pure gauge theory, the Green functions are one-loop…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , A. Yu. Petrov , A. J. da Silva

The dynamical breaking of gauge symmetry in the supersymmetric quantum electrodynamics in three-dimensional spacetime is studied at two-loop approximation. At this level, the effective superpotential is evaluated in a supersymmetric phase.…

High Energy Physics - Theory · Physics 2009-01-21 A. C. Lehum

We present a Chern-Simons action for N=2 Super-Yang-Mills theory (SYM) in 'full' N=2 superspace (hyperspace) augmented by coordinates of the internal SU(2) group and show that this action can be reduced to the usual SYM action in the…

High Energy Physics - Theory · Physics 2012-12-12 Dharmesh Jain , Warren Siegel

We present effective field theories for dipole symmetric topological matters that can be described by the Chern-Simons theory. Unlike most studies using higher-rank gauge theory, we develop a framework with both U(1) and dipole gauge…

Strongly Correlated Electrons · Physics 2023-10-12 Xiaoyang Huang

Non-invertible one-form symmetries are naturally realized in (2+1)d topological quantum field theories. In this work, we consider the potential realization of such symmetries in (2+1)d conformal field theories, investigating whether gapless…

High Energy Physics - Theory · Physics 2025-04-07 Clay Cordova , Diego García-Sepúlveda , Kantaro Ohmori

We discuss the non-perturbative behavior of the U(1)_R symmetry in N=2 superconformal Chern-Simons theories coupled to matter in the (anti)fundamental and adjoint representations of the gauge group, which we take to be U(N). Inequalities…

High Energy Physics - Theory · Physics 2014-11-18 Vasilis Niarchos

We study dipole Chern-Simons theory with and without a cosmological constant in $2+1$ dimensions. We write the theory in a second order formulation and show that this leads to a fracton gauge theory coupled to Aristotelian geometry which…

High Energy Physics - Theory · Physics 2024-09-10 Jelle Hartong , Giandomenico Palumbo , Simon Pekar , Alfredo Pérez , Stefan Prohazka

We study the manifestly covariant three-dimensional symmetric Chern-Simons action in terms of the Batalin-Vilkovisky quantization method. We find that the Lorentz covariant gauge fixed version of this action is reduced to the usual…

High Energy Physics - Theory · Physics 2007-05-23 Won Tae Kim , Chang-Yeong Lee , Dong Won Lee

In this paper we discuss decomposition in the context of three-dimensional Chern-Simons theories. Specifically, we argue that a Chern-Simons theory with a gauged noneffectively-acting one-form symmetry is equivalent to a disjoint union of…

High Energy Physics - Theory · Physics 2023-03-14 T. Pantev , E. Sharpe