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A tale of exceptional 3 d dualities

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In this paper, the authors consider interesting Seiberg dualities for Usp gauge theories with an antisymmetric, 8 fundamentals and no superpotential, and propose a free mirror for A2N Argyres-Douglas, with its related adjoint-Usp(2N) duality.
Abstract
We consider interesting Seiberg dualities for Usp gauge theories with an antisymmetric, 8 fundamentals and no superpotential. We reduce to three dimensions and systematically analyze deformations triggered by real and complex masses, reaching a plethora of $$ \mathcal{N} $$ = 2 dualities for U(N) and Usp(2N) gauge theories, possibly with monopole superpotentials and Chern-Simons interactions. Special cases of these “exceptional dualities” are: supersymmetry enhancement dualities, “duality appetizers” and many known dualities relating rank-1 gauge groups. The 4d $$ \mathcal{N} $$ = 1 Usp dualities provide a unified perspective on many curious phenomena of 3d and 4d gauge theories with four supercharges. Finally, we propose a free mirror for A2N Argyres-Douglas, with its related adjoint-Usp(2N) duality, and we construct a mirror for adjoint-U(N), with an arbitrary number flavors and zero superpotential.

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Coulomb and Higgs branches from canonical singularities. Part 0

TL;DR: In this article, a relation between the resulting moduli spaces, by compactifying the theories to 3D, was proposed, followed by 3d $$ \mathcal{N} $$ = 4 mirror symmetry and an S-type gauging of an abelian flavor symmetry.
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Coulomb and Higgs Branches from Canonical Singularities: Part 0

TL;DR: In this paper, a relation between the resulting moduli spaces, by compactifying the theories to 3D, followed by 3d $\mathcal{N}=4$ mirror symmetry and an $S$-type gauging of an abelian flavor symmetry is proposed.
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Living on the walls of super-QCD

TL;DR: In this article, a class of three-dimensional Chern-Simons-matter theories were proposed to describe the effective dynamics on the domain walls of BPS domain walls in the small mass regime.
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From 3d dualities to 2d free field correlators and back

TL;DR: In this paper, the relation between 3D Seiberg-like dualities and 2D free field correlators or Dotsenko-Fateev integrals for Liouville CFT was investigated.
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Flipping the head of T [SU( N)]: mirror symmetry, spectral duality and monopoles

TL;DR: In this article, the authors show that there are two more dual frames, which are obtained by adding flipping fields for the moment map on the Higgs and Coulomb branch of topological string.
References
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Journal ArticleDOI

Electric-magnetic duality in supersymmetric non-Abelian gauge theories

TL;DR: In this article, the authors demonstrate electric-magnetic duality in N = 1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long distance physics.
Journal ArticleDOI

Type iib superstrings, bps monopoles, and three-dimensional gauge dynamics

TL;DR: In this article, the Coulomb branch of certain three-dimensional supersymmetric gauge theories and the moduli spaces of magnetic monopoles are explained via string theory, and new phase transitions in three dimensions as well as new infrared fixed points and even new coupling constants are predicted from the string theory construction.
Journal ArticleDOI

Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories

TL;DR: In this article, the authors demonstrate electric-magnetic duality in N = 1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories leading to the same non-trivial long distance physics.
Journal ArticleDOI

Exact results for Wilson loops in superconformal Chern-Simons theories with matter

TL;DR: In this paper, the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter were computed using localization techniques, and the path-integral reduces to a non-Gaussian matrix model.
Journal ArticleDOI

Mirror symmetry in three dimensional gauge theories

TL;DR: In this paper, the authors discuss non-trivial fixed points of the renormalization group with dual descriptions in N = 4 gauge theories in three dimensions and show that small E8 instantons in string theory are described by a local quantum field theory.
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