# Non-Abelian mirror symmetry beyond the chiral ring

@article{Fan2019NonAbelianMS,
title={Non-Abelian mirror symmetry beyond the chiral ring},
author={Yale Fan and Yifan Wang},
journal={Physical Review D},
year={2019}
}
• Published 11 December 2019
• Physics
• Physical Review D
Mirror symmetry is a type of infrared duality in 3D quantum field theory that relates the low-energy dynamics of two distinct ultraviolet descriptions. Though first discovered in the supersymmetric context, it has far-reaching implications for understanding nonperturbative physics in general 3D quantum field theories. We study mirror symmetry in 3D $\mathcal{N}=4$ supersymmetric field theories whose Higgs or Coulomb branches realize $D$- and $E$-type Kleinian singularities in the $ADE… 11 Citations ## Tables from this paper • Mathematics • 2020 We find a one-dimensional protected subsector of$\mathcal{N}=4$matter theories on a general class of three-dimensional manifolds. By means of equivariant localization we identify a dual quantum • Mathematics Journal of High Energy Physics • 2022 Abstract We generalize the Giveon-Kutasov duality for the 3d $$\mathcal{N}$$ N = 3 U(N)k,k+nN Chern-Simons matter gauge theory with F fundamental hypermultiplets by introducing SU(N) and U(1) • Mathematics Journal of High Energy Physics • 2021 Abstract We study supersymmetric sectors at half-BPS boundaries and interfaces in the 4d $$\mathcal{N}$$ N = 4 super Yang-Mills with the gauge group G, which are described by associative We study and compute supersymmetric observables for line defects in 3d$\mathcal{N}\ge4$theories. Our setup is a novel supersymmetric configuration involving line operators and local operators • Mathematics • 2021 We study supersymmetric sectors at half-BPS boundaries and interfaces in the 4d N = 4 super Yang-Mills with the gauge group G, which are described by associative algebras equipped with twisted • Mathematics Journal of High Energy Physics • 2020 We find a one-dimensional protected subsector of N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} • Physics • 2022 : Superconformal ﬁeld theories (SCFTs) occupy a central role in the study of many aspects of quantum ﬁeld theory. In this white paper for the Snowmass process we give a brief overview of aspects of • Materials Science Journal of High Energy Physics • 2022 We generalize the Giveon-Kutasov duality for the 3d N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} • A. Dey • Mathematics Journal of High Energy Physics • 2021 Mirror symmetry, a three dimensional N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} • Mathematics • 2020 We study supersymmetric sectors at half-BPS boundaries and interfaces in the 4d N = 4 super Yang-Mills with the gauge group G, which are described by associative algebras equipped with twisted ## References SHOWING 1-10 OF 76 REFERENCES • Physics • 2019 We investigate the non-BPS realm of 3d${\cal N} = 4$superconformal field theory by uniting the non-perturbative methods of the conformal bootstrap and supersymmetric localization, and utilizing • Mathematics, Physics • 2016 A bstractWe use supersymmetric localization to calculate correlation functions of half-BPS local operators in 3d N=4$$\mathcal{N}=4$$ superconformal field theories whose Lagrangian descriptions • Mathematics • 2013 A bstractWe provide non-trivial checks of$ \mathcal{N} $= 4, D = 3 mirror symmetry in a large class of quiver gauge theories whose Type IIB (Hanany-Witten) descriptions involve D3 branes ending on • Mathematics • 2016 A bstractT-branes are exotic bound states of D-branes, characterized by mutually non-commuting vacuum expectation values for the worldvolume scalars. The M/F-theory geometry lifting D6/D7-brane • Mathematics, Physics • 2014 A bstractThis paper addresses a long standing problem - to identify the chiral ring and moduli space (i.e. as an algebraic variety) on the Coulomb branch of an$ \mathcal{N} \$ = 4 superconformal
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A bstractWe develop new techniques for computing exact correlation functions of a class of local operators, including certain monopole operators, in three-dimensional N=4$$\mathcal{N}=4$$ abelian