# 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} }

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

### Topological Rings and Surface Defects from Equivariant Cohomology

- 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…

### 3d $$ \mathcal{N} $$ = 3 generalized Giveon-Kutasov duality

- MathematicsJournal 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)…

### Algebras, traces, and boundary correlators in $$ \mathcal{N} $$ = 4 SYM

- MathematicsJournal 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…

### On protected defect correlators in 3d $\mathcal{N}\ge4$ theories

- Mathematics, Physics
- 2023

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…

### Algebras , traces , and boundary correlators in N = 4 SYM

- 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…

### Topological correlators and surface defects from equivariant cohomology

- MathematicsJournal 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}…

### Snowmass White Paper on SCFTs

- 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…

### 3d N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 3 generalized Giveon-Kutasov duali

- Materials ScienceJournal 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}…

### Three dimensional mirror symmetry beyond ADE quivers and Argyres-Douglas theories

- MathematicsJournal 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}…

### Prepared for submission to JHEP Algebras , traces , and boundary correlators in N = 4 SYM

- 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…

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