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Related papers: Exceptional Chern-Simons-Matter Dualities

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We study three-dimensional gauge theories based on orthogonal groups. Depending on the global form of the group these theories admit discrete $\theta$-parameters, which control the weights in the sum over topologically distinct gauge…

High Energy Physics - Theory · Physics 2018-05-02 Clay Cordova , Po-Shen Hsin , Nathan Seiberg

We propose new infinite families of non-supersymmetric IR dualities in three space-time dimensions, between Chern-Simons gauge theories (with classical gauge groups) with both scalars and fermions in the fundamental representation. In all…

High Energy Physics - Theory · Physics 2019-07-17 Francesco Benini

We conjecture a new sequence of dualities between Chern-Simons gauge theories simultaneously coupled to fundamental bosons and fermions. These dualities reduce to those proposed by Aharony when the number of bosons or fermions is zero. Our…

High Energy Physics - Theory · Physics 2018-02-02 Kristan Jensen

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

Within the superfield approach, we consider the duality between the supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime dimensions. Using a gauge embedding method, we construct the dual theory to the self-dual…

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

We discuss in detail level/rank duality in three-dimensional Chern-Simons theories and various related dualities in three-dimensional Chern-Simons-matter theories. We couple the dual Lagrangians to appropriate background fields (including…

High Energy Physics - Theory · Physics 2016-10-12 Po-Shen Hsin , Nathan Seiberg

We propose a duality for N=2 d=3 Chern-Simons gauge theories with orthogonal gauge groups and matter in the vector representation. This duality generalizes level-rank duality for pure Chern-Simons gauge theories with orthogonal gauge groups…

High Energy Physics - Theory · Physics 2011-04-05 Anton Kapustin

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 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 systematically study 3d $\mathcal{N}=2$ dualities for $U(N_c)$ gauge theories with different CS levels for the abelian and the non-abelian factors. We derive such dualities by a gauging/ungauging procedure on other known dualities and by…

High Energy Physics - Theory · Physics 2022-03-14 Antonio Amariti , Simone Rota

We establish the action of the three-dimensional non-Abelian bosonization dualities in the presence of a boundary, which supports a non-anomalous two-dimensional theory. In particular, we generalize a prescriptive method for assigning…

High Energy Physics - Theory · Physics 2018-06-13 Kyle Aitken , Andreas Karch , Brandon Robinson

We use localization techniques to study duality in N = 2 supersymmetric gauge theories in three dimensions. Specifically, we consider a duality due to Aharony involving unitary and symplectic gauge groups, which is similar to Seiberg…

High Energy Physics - Theory · Physics 2021-01-13 Brian Willett , Itamar Yaakov

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

We study the interplay between holomorphic conformal field theory and dualities of 3D topological quantum field theories generalizing the paradigm of level-rank duality. A holomorphic conformal field theory with a Kac-Moody subalgebra…

High Energy Physics - Theory · Physics 2026-01-01 Clay Cordova , Diego García-Sepúlveda , Jeffrey A. Harvey

We clarify how mirror symmetry acts on 3d theories with N=2,3 or 4 supersymmetries and non-abelian Chern-Simons terms and then construct many new examples. We identify a new duality, geometric duality, that allows us to generate large…

High Energy Physics - Theory · Physics 2009-09-28 Kristan Jensen , Andreas Karch

There has been a recent surge of interest in dualities relating theories of Chern-Simons gauge fields coupled to either bosons or fermions within the condensed matter community, particularly in the context of topological insulators and the…

Strongly Correlated Electrons · Physics 2018-03-02 Aaron Hui , Michael Mulligan , Eun-Ah Kim

We construct invertible field theories generalizing abelian prequantum spin Chern-Simons theory to manifolds of dimension 4k+3 endowed with a Wu structure of degree 2k+2. After analysing the anomalies of a certain discrete symmetry, we…

Mathematical Physics · Physics 2018-08-13 Samuel Monnier

By coupling {\cal N}=8 superconformal matter to {\cal N}=8 superconformal Chern-Simons gravity in three dimensions we obtain theories with novel terms in the scalar potential leading to AdS_3 solutions and superconformal symmetry breaking.…

High Energy Physics - Theory · Physics 2015-06-04 Ulf Gran , Jesper Greitz , Paul Howe , Bengt E. W. Nilsson

Three-dimensional gauge theories coupled to fermions can develop interesting nonperturbative dynamics. Here we study in detail the dynamics of $SU(N)$ gauge theories coupled to a Dirac fermion in the rank-two symmetric and antisymmetric…

High Energy Physics - Theory · Physics 2018-10-19 Changha Choi , Diego Delmastro , Jaume Gomis , Zohar Komargodski

We study dualities for ${\cal N}=2$ 3d Chern-Simons matter theories with gauge groups U/Sp/O, matter in the two-index tensor representations (adjoint/symmetric/antisymmetric) in addition to the fundamental representation, and a…

High Energy Physics - Theory · Physics 2015-05-30 Anton Kapustin , Hyungchul Kim , Jaemo Park
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