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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 propose a triality relating the Double-Scaled SYK model, $SL(2,\mathbb{C})$ Chern-Simons theory on a disk with an irregular singularity at the center and the outcome of ``real Schur quantization'' applied to $SU(2)$ Seiberg-Witten theory…

High Energy Physics - Theory · Physics 2024-09-19 Davide Gaiotto , Herman Verlinde

We propose a universal manipulation to obtain Seiberg-like dualities of 3d $\mathcal{N}=2$ general quiver gauge theories with unitary, symplectic and orthogonal gauge groups coupled to fundamental and bifundamental matter fields. We…

High Energy Physics - Theory · Physics 2022-04-28 Tadashi Okazaki , Douglas J. Smith

We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-dimensional N=2 gauge theories. Under this duality, standard operations on triangulated 3-manifolds and various invariants thereof (classical as well…

High Energy Physics - Theory · Physics 2011-08-23 Tudor Dimofte , Davide Gaiotto , Sergei Gukov

We derive level-rank duality in pure Chern-Simons gauge theories from a non-supersymmetric Seiberg duality by using a non-supersymmetric brane configuration in type IIB string theory. The brane configuration consists of fivebranes, N D3…

High Energy Physics - Theory · Physics 2015-06-22 Adi Armoni , Edwin Ireson

We analyze three dimensional gauge theories with $Sp$ gauge group. We find that in some regime the theory should be described in terms of a dual theory, very much in the spirit of Seiberg duality in four dimensions. This duality does not…

High Energy Physics - Theory · Physics 2009-10-30 Andreas Karch

We show that a broad class of three-dimensional $\mathcal{N}=2$ chiral Chern-Simons gauge theories admit an abelian and planar dual description. These chiral-planar dualities emerge by performing real mass deformations on known…

High Energy Physics - Theory · Physics 2025-07-04 Sergio Benvenuti , Riccardo Comi , Sara Pasquetti , Gabriel Pedde Ungureanu , Simone Rota , Anant Shri

We give a pedagogical introduction to the study of supersymmetric partition functions of 3D $\mathcal{N}{=}2$ supersymmetric Chern-Simons-matter theories (with an $R$-symmetry) on half-BPS closed three-manifolds---including $S^3$, $S^2…

High Energy Physics - Theory · Physics 2019-09-04 Cyril Closset , Heeyeon Kim

We study the Aharony duality for three dimensional $\mathcal N=2$ supersymmetric gauge theories for orthogonal gauge groups with matters in vector representation. We provide the evidence for the duality by working out the partition function…

High Energy Physics - Theory · Physics 2015-05-30 Chiung Hwang , Kyung-Jae Park , Jaemo Park

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 study a supersymmetric partition function of topological vortices in 3d N=4,3 gauge theories on R^2 x S^1, and use it to explore Seiberg-like dualities with Fayet-Iliopoulos deformations. We provide a detailed support of these dualities…

High Energy Physics - Theory · Physics 2012-04-19 Hee-Cheol Kim , Jungmin Kim , Seok Kim , Kanghoon Lee

We extend recent work on the relation of 4d and 3d IR dualities of supersymmetric gauge theories with four supercharges to the case of orthogonal gauge groups. The distinction between different SO(N) gauge theories in 4d plays an important…

High Energy Physics - Theory · Physics 2015-06-16 Ofer Aharony , Shlomo S. Razamat , Nathan Seiberg , Brian Willett

We propose a Seiberg duality for a 3d $\mathcal{N}=2$ $Spin(7)$ gauge theory with $F$ spinor matters. For $F \ge 6$, the theory allows a magnetic dual description with an $SU(F-4)$ gauge group. The matter content on the magnetic side is…

High Energy Physics - Theory · Physics 2020-05-20 Keita Nii

This is the 10th article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J.Teschner. It reviews correspondences between three-dimensional gauge theories and complex Chern-Simons theory on suitable…

High Energy Physics - Theory · Physics 2014-12-23 Tudor Dimofte

We study the large N limit of SO(N) and Sp(N) Chern-Simons gauge theory on S^3 and identify its closed string dual as topological strings on an orientifold of the small resolution of the conifold. Applications to large N dualities for N=1…

High Energy Physics - Theory · Physics 2007-05-23 S. Sinha , C. Vafa

We provide quantitative evidence for our previous conjecture which states an equivalence of the partition function of a 3d N=2 gauge theory on a duality wall and that of the SL(2,R) Chern-Simons theory on a mapping torus, for a class of…

High Energy Physics - Theory · Physics 2013-08-09 Yuji Terashima , Masahito Yamazaki

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

We study Seiberg-like dualities for 3d N=2 theories with flavors in fundamental and adjoint representations. The recent results of Intriligator and Seiberg provide a derivation of an Aharony duality from a Giveon-Kutasov duality. We extend…

High Energy Physics - Theory · Physics 2013-10-30 Siraj Khan , Radu Tatar

We extend previous work on N=2 Chern-Simons theories coupled to a single adjoint chiral superfield using localization techniques and the F-maximization principle. We provide tests of a series of proposed 3D Seiberg dualities and a new class…

High Energy Physics - Theory · Physics 2015-05-30 Takeshi Morita , Vasilis Niarchos

We revisit the 3d ${\cal N}=5$ Chern-Simons-Matter theory with orthosymplectic gauge group and its gravity dual from the perspective of generalized symmetries. We derive the corresponding 4d symmetry topological field theory from the…

High Energy Physics - Theory · Physics 2025-01-08 Oren Bergman , Francesco Mignosa