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Using an explicit path integral approach we derive non-abelian bosonization and duality of 3D systems in the large $N$ limit. We first consider a fermionic $U(N)$ vector model coupled to level $k$ Chern-Simons theory, following standard…

High Energy Physics - Theory · Physics 2016-05-23 Nouman Muteeb , Leopoldo A. Pando Zayas , Fernando Quevedo

We study the relation between the frame-like and metric-like formulation of higher-spin gauge theories in three space-time dimensions. We concentrate on the theory that is described by an SL(3) x SL(3) Chern-Simons theory in the frame-like…

High Energy Physics - Theory · Physics 2015-06-22 Stefan Fredenhagen , Pan Kessel

It was established long ago that SO(2) electric-magnetic duality is an {\em off-shell} symmetry of the free Maxwell theory, i.e., that it leaves invariant the action and not just the equations of motion. We review here that analysis and…

High Energy Physics - Theory · Physics 2014-03-14 Claudio Bunster , Marc Henneaux

In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those…

Strongly Correlated Electrons · Physics 2017-03-08 Ofer Aharony , Francesco Benini , Po-Shen Hsin , Nathan Seiberg

We explore topologically massive gauge theories using the covariant colour kinematics duality recently introduced by Cheung and Mangan. We show that the massive bi-adjoint scalar field is simply related to topologically massive gauge theory…

High Energy Physics - Theory · Physics 2021-10-06 Nathan Moynihan

BMS algebra in three spacetime dimensions can be deformed into a two parameter family of algebra known as $W(a,b)$ algebra. For $a=0$, we show that other than $W(0,-1)$, no other $W(0,b)$ algebra admits a non-degenerate bilinear and thus…

High Energy Physics - Theory · Physics 2023-08-23 Nabamita Banerjee , Arindam Bhattacharjee , Surajit Biswas , Arpita Mitra , Debangshu Mukherjee

We study the low energy behaviour of N=(2,2) supersymmetric gauge theories in 1+1 dimensions, with orthogonal and symplectic gauge groups and matters in the fundamental representation. We observe supersymmetry breaking in super-Yang-Mills…

High Energy Physics - Theory · Physics 2015-03-19 Kentaro Hori

We study Chern-Simons theory with a complex G_C or a real G x G gauge group on a manifold with boundary - this includes Lorentzian and Euclidean (anti-) de Sitter (E/A)dS gravity for G=SU(2) or G=SL(2,R). We show that there is a canonical…

High Energy Physics - Theory · Physics 2014-11-18 Giovanni Arcioni , Matthias Blau , Martin O'Loughlin

Recently a duality between a family of \mathcal{N}=2 supersymmetric higher spin theories on AdS3, and the 't Hooft like limit of a class of Kazama-Suzuki models (that are parametrised by N and k) was proposed. The higher spin theories can…

High Energy Physics - Theory · Physics 2015-06-05 Constantin Candu , Matthias R. Gaberdiel

We demonstrate a physical motivation for extending color-dual or BCJ double-copy construction to include theories with kinematic numerators that obey the same algebraic relations as symmetric structure constants,…

High Energy Physics - Theory · Physics 2023-10-10 John Joseph M. Carrasco , Nicolas H. Pavao

We consider a 5-dimensional Chern-Simons gauge theory for the isometry group of Anti-de-Sitter spacetime, $\operatorname{AdS}_{4+1}\simeq\operatorname{SO}(4,2)$, and invoke different dimensional reduction schemes in order to relate it to…

General Relativity and Quantum Cosmology · Physics 2018-12-18 N. L. González Albornoz , Dieter Lust , S. Salgado , Angnis Schmidt-May

We provide evidences for the duality between ${\cal N}=6$ $U(M)_{4} \times U(N)_{-4}$ Chern-Simons matter theory and ${\cal N}=5$ $O(\hat{M})_{2} \times USp(2\hat{N})_{-1}$ theory for a suitable $\hat{M},\hat{N}$ by working out the…

High Energy Physics - Theory · Physics 2015-06-11 Sangmo Cheon , Dongmin Gang , Chiung Hwang , Satoshi Nagaoka , Jaemo Park

We report preliminary results on the recently proposed F-maximization principle in 3D SCFTs. We compute numerically in the large-N limit the free energy on the three-sphere of an N=2 Chern-Simons-Matter theory with a single adjoint chiral…

High Energy Physics - Theory · Physics 2011-09-21 Vasilis Niarchos

We revisit the proposal that coupling two six-dimensional holomorphic Chern-Simons theories generates gaugings throughout the twistor-space diamond relating 6d hCS, 4d self-dual Yang-Mills, 4d Chern-Simons, and 2d integrable models. In…

High Energy Physics - Theory · Physics 2025-12-22 Dimitrios Chatzis , John M. Marley , Daniel C. Thompson

We use on-shell Supersymmetry to constrain the three-point function of two massless particles and one massive particle in 3+1 dimensions. We use this information to write down the tree-level four-point function of massless particles for…

High Energy Physics - Theory · Physics 2023-06-28 Mahesh K. N. Balasubramanian , Kushal Chakraborty , Arnab Rudra , Arnab Priya Saha

We construct a holographic dual theory of one-dimensional anisotropic Heisenberg spin chain, which includes two Chern-Simons gauge fields and a charged scalar field. Thermodynamic quantities of the spin chain at low temperatures, which are…

High Energy Physics - Theory · Physics 2023-11-03 Naoto Yokoi , Yasuyuki Oikawa , Eiji Saitoh

We study \Omega-deformation of B-twisted gauge theories in two dimensions. As an application, we construct an \Omega-deformed, topologically twisted five-dimensional maximally supersymmetric Yang-Mills theory on the product of a Riemann…

High Energy Physics - Theory · Physics 2015-02-17 Yuan Luo , Meng-Chwan Tan , Junya Yagi , Qin Zhao

The theory of a spinor field interacting with a pure Chern-Simons gauge field in 2+1 dimensions is quantized. Dynamical and nondynamical variables are separated in a gauge-independent way. After the nondynamical variables are dropped, this…

High Energy Physics - Theory · Physics 2018-01-17 Qiong-gui Lin

We show that the four-dimensional Chern-Simons theory studied by Costello, Witten and Yamazaki, is, with Nahm pole-type boundary conditions, dual to a boundary theory that is a three-dimensional analogue of Toda theory with a novel 3d…

High Energy Physics - Theory · Physics 2022-08-02 Meer Ashwinkumar , Kee-Seng Png , Meng-Chwan Tan

In this work, we propose the N=2 and N=4 supersymmetric extensions realized off-shell of the Abelian gauge model with Chern-Simons Lorentz-breaking term. We start with the theory in 6 and 10 dimensions and reduce \`{a} la Scherk the…

High Energy Physics - Theory · Physics 2007-05-23 Wander G. Ney , J. A. Helayel-Neto , Wesley Spalenza