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We propose that the three-dimensional N=2 SU(2) Chern-Simons theory at level 1 coupled to an adjoint chiral multiplet with no superpotential is equivalent to the free field theory consisting of a single massless N=2 chiral multiplet. In…

High Energy Physics - Theory · Physics 2011-03-31 Daniel Jafferis , Xi Yin

There is an evidence that the N=2 Born-Infeld theory with spontaneously broken N=4 supersymmetry exhibits self-duality. We perform a further check of this hypothesis by constructing a new representation for the N=2 Born-Infeld action…

High Energy Physics - Theory · Physics 2015-06-18 E. A. Ivanov , B. M. Zupnik

In this paper three dimensional higher spin theories in the Chern-Simons formulation with gauge algebra $sl(N,R)$ are investigated which have Lifshitz symmetry with scaling exponent $z$. We show that an explicit map exists for all $z$ and…

High Energy Physics - Theory · Physics 2015-10-14 Matteo Beccaria , Michael Gutperle , Yi Li , Guido Macorini

We construct Chern-Simons gravities in $(2+1)$-dimensional space-time considering the Stringy Galilei algebra both with and without non-central extensions. In the first case, there is an invariant and non-degenerate bilinear form, however,…

High Energy Physics - Theory · Physics 2019-10-02 Luis Avilés , Joaquim Gomis , Diego Hidalgo

Witten constructed a topological quantum field theory with the Chern-Simons action as Lagrangian. We define a Chern-Simons action for 3-dimensional spectral triples. We prove gauge invariance of the Chern-Simons action, and we prove that it…

Operator Algebras · Mathematics 2012-11-11 Oliver Pfante

We study recently proposed chiral higher spin theories - cubic theories of interacting massless higher spin fields in four-dimensional flat space. We show that they are naturally associated with gauge algebras, which manifest themselves in…

High Energy Physics - Theory · Physics 2018-01-23 Dmitry Ponomarev

We use a recently proposed covariant procedure to reduce the Chern-Simons action of three-dimensional higher-spin gravity to the boundary, resulting in a Lorentz covariant action for higher-order chiral scalars. After gauge-fixing, we…

High Energy Physics - Theory · Physics 2025-04-15 Calvin Yi-Ren Chen , Euihun Joung , Karapet Mkrtchyan , Junggi Yoon

We find that point particles interacting with a self-dual Yang-Mills field and self-dual gravity manifestly satisfy color-kinematics duality at the level of action. In a similar way color-kinematics duality also holds for a scalar field…

High Energy Physics - Theory · Physics 2024-04-23 Vyacheslav Ivanovskiy , Dmitry Ponomarev

The fourth derivative models for two dimensional gravity are shown to be equivalent to the special version of the nonlinear sigma models coupled to 2d quantum gravity. The reduction consists in the introduction of the auxiliary scalar…

High Energy Physics - Theory · Physics 2016-09-06 I. L. Shapiro

We propose a new theory of higher spin gravity in three spacetime dimensions. This is defined by what we will call a Nambu-Chern-Simons (NCS) action; this is to a Nambu 3-algebra as an ordinary Chern-Simons (CS) action is to a Lie…

High Energy Physics - Theory · Physics 2016-07-25 Alex S. Arvanitakis

We find that the recently-proposed ghost-free interaction of a 2-form gauge field in four dimensions, which contains derivative couplings in a nonperturbative manner, can be regarded as a resummation of ghostly interaction terms. We…

General Relativity and Quantum Cosmology · Physics 2020-01-30 Kazufumi Takahashi , Daisuke Yoshida

In this paper we study the reduction of four-dimensional Seiberg duality to three dimensions from a brane perspective. We reproduce the non-perturbative dynamics of the three-dimensional field theory via a T-duality at finite radius and the…

High Energy Physics - Theory · Physics 2015-12-04 Antonio Amariti , Davide Forcella , Claudius Klare , Domenico Orlando , Susanne Reffert

We explore the dynamics of three-dimensional Chern-Simons gauge theories with N=2 supersymmetry and matter in the fundamental and adjoint representations of the gauge group. Realizing the gauge theories of interest in a setup of threebranes…

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

We consider models in which nonrelativistic matter fields interact with gauge fields whose dynamics are governed by the Chern-Simons term. The relevant equations of motion are derived and reduced dimensionally in time or in space.…

High Energy Physics - Theory · Physics 2007-05-23 R. Jackiw , So-Young Pi

We review self-duality of nonlinear electrodynamics and its extension to several Abelian gauge fields coupled to scalars. We then describe self-duality in supersymmetric models, both N = 1 and N = 2. The self-duality equations, which have…

High Energy Physics - Theory · Physics 2015-06-25 Sergei M. Kuzenko , Stefan Theisen

We propose a new approach to solve conformal field theories and apply it to Chern-Simons Matter theories and three-dimensional bosonization duality. All three-point correlation functions of single-trace operators are obtained in the…

High Energy Physics - Theory · Physics 2022-07-14 Evgeny D. Skvortsov

We consider here a generalization of the Abelian Higgs model in curved space, by adding a Chern--Simons term. The static equations are self-dual provided we choose a suitable potential. The solutions give a self-dual Maxwell--Chern--Simons…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Choonkyu Lee

In [arXiv:0808.1677] 3 dimensional field theories are proposed to on-shell represent N=8 SUSY algebra and SO(7) or SO(4)xSO(4) subgroups of full SO(8) automorphism. They are theories of 8 scalar and 8 spinor matrix fields with Yukawa,…

High Energy Physics - Theory · Physics 2009-02-24 Mahdi Torabian

We investigate features of duality in three dimensional N=2 Chern-Simons matter theories conjectured to describe M2 branes at toric Calabi Yau four-fold singularities. For 3D theories with non-chiral 4D parents we propone a Seiberg-like…

High Energy Physics - Theory · Physics 2010-05-25 Antonio Amariti , Davide Forcella , Luciano Girardello , Alberto Mariotti

We construct a 2+1 dimensional classical gauge theory on manifolds with spin structure whose action is a refinement of the Atiyah-Patodi- Singer eta-invariant for twisted Dirac operators. We investigate the properties of the Lagrangian…

Differential Geometry · Mathematics 2007-05-23 Jerome A. Jenquin
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