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We compute the form of the Lagrangian of N=1 supersymmetric theories with gauged axion symmetries. It turns out that there appear generalized Chern-Simons terms that were not considered in previous superspace formulations of general N=1…

High Energy Physics - Theory · Physics 2009-11-10 L. Andrianopoli , S. Ferrara , M. A. Lledo'

A generalization of Chern-Simons gauge theory is formulated in any dimension and arbitrary gauge group where gauge fields and gauge parameters are differential forms of any degree. The quaternion algebra structure of this formulation is…

High Energy Physics - Theory · Physics 2017-05-31 Alessandro D'Adda , Noboru Kawamoto , Naoki Shimode , Takuya Tsukioka

It has recently pointed out that a four-dimensional analog of Chern-Simons theory provides an elegant framework for understanding integrable models with spectral parameters. The goal of this short note is to better understand the relation…

High Energy Physics - Theory · Physics 2020-01-13 Masahito Yamazaki

The mechanism underlying any bosonisation or fermionisation is exposed.It is shown that any local theory of fermions on a lattice in any spatial dimension greater than one is equivalent to a local theory of Ising spins coupled to a $Z_{2}$…

High Energy Physics - Theory · Physics 2007-05-23 H. S. Sharatchandra

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 deform the recently proposed holographic duality between the ABJM N=6 Chern-Simons-matter theory and type IIA string theory in AdS4xCP3. We add a non-zero Romans mass F_0, whose dual we identify as the sum of the Chern-Simons levels for…

High Energy Physics - Theory · Physics 2010-11-24 Davide Gaiotto , Alessandro Tomasiello

We show in three dimensions, using functional integral techniques, the equivalence between the partition functions of the massive Thirring model and a gauge theory with two gauge fields, to all orders in the inverse fermion mass. Detailed…

High Energy Physics - Theory · Physics 2009-10-28 R. Banerjee

We discuss the behavior of two non-supersymmetric chiral SU(N) gauge theories, involving fermions in the symmetric and antisymmetric two-index tensor representations respectively. In addition to global anomaly matching, we employ a recently…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Appelquist , Z. Duan , F. Sannino

In [1] a new bosonization procedure has been illustrated, which allows to express a fermionic gaussian system in terms of commuting variables at the price of introducing an extra dimension. The Fermi-Bose duality principle established in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Franco Ferrari

We introduce a class of higher-order derivative models in (2,1) space-time dimensions. The models are described by a vector field, and contain a Proca-like mass term which prevents gauge invariance. We use the gauge embedding procedure to…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , R. Menezes , J. R. Nascimento , R. F. Ribeiro , C. Wotzasek

We consider Chern-Simons theory coupled to massive fundamental matter in three spacetime dimensions at finite temperature, in the large $N$ limit. We compute several thermal correlators in this theory for both fermionic and bosonic matter…

High Energy Physics - Theory · Physics 2021-02-03 Amiya Mishra

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

We study the most general renormalizable ${\cal N}=1$ $U(N)$ Chern-Simons gauge theory coupled to a single (generically massive) fundamental matter multiplet. At leading order in the 't Hooft large $N$ limit we present computations and…

High Energy Physics - Theory · Physics 2015-10-29 Karthik Inbasekar , Sachin Jain , Subhajit Mazumdar , Shiraz Minwalla , V. Umesh , Shuichi Yokoyama

Level-rank duality relates the observables of two different Chern-Simons theories in which the roles of the Chern-Simons level and the rank of the gauge group are exchanged. In this note, we explore the consequences of this duality in the…

High Energy Physics - Theory · Physics 2016-10-05 Masoud Soroush

We derive new dualities of topological quantum field theories in three spacetime dimensions that generalize the familiar level-rank dualities of Chern-Simons gauge theories. The key ingredient in these dualities is non-abelian anyon…

High Energy Physics - Theory · Physics 2026-04-30 Clay Cordova , Diego García-Sepúlveda

We introduce a new family of gauge invariant regularizations of Chern-Simons theories which generate one-loop renormalizations of the coupling constant of the form $k\to k+2 s c_v$ where $s$ can take any arbitrary integer value. In the…

High Energy Physics - Theory · Physics 2009-10-28 M. Asorey , F. Falceto , J. L. Lopez , G. Luzon

Three dimensional, $U(N)$ symmetric, field theory with fermion matter coupled to a topological Chern--Simons term, in the large $N$ limit is analyzed in details. We determine the conditions for the existence of a massless conformal…

High Energy Physics - Theory · Physics 2019-10-15 Moshe Moshe , Jean Zinn-Justin

A five-dimensional Chern-Simons gravity theory based on the anti-de Sitter group SO(4,2) is argued to be a useful model in which to understand the details of holography and the relationship between generally covariant and dual local quantum…

High Energy Physics - Theory · Physics 2009-10-31 L. D. Paniak

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

We study Seiberg-like dualities in three dimensional N=2 supersymmetric theories, emphasizing Chern-Simons terms for the global symmetry group, which affect contact terms in two-point functions of global currents and are essential to the…

High Energy Physics - Theory · Physics 2012-08-15 Francesco Benini , Cyril Closset , Stefano Cremonesi