# Dualities for adjoint SQCD in three dimensions and emergent symmetries

## TL;DR

This paper explores dualities in three-dimensional $ ext{N}=2$ gauge theories with adjoint matter, revealing new relationships and emergent symmetries by deforming known mirror theories and analyzing specific gauge groups.

## Contribution

It introduces a novel duality for 3D $ ext{N}=2$ theories with adjoint matter, derived from $ ext{N}=4$ mirror theories through superpotential deformations involving monopoles.

## Key findings

- $SU(2)$ adjoint SQCD with one flavor is dual to SQED with two flavors and three singlets.
- The study recovers several known dualities, including the Jafferis-Yin duality.
- Emergent symmetries play a key role in the dual descriptions.

## Abstract

In this paper we study dualities for $\mathcal{N}=2$ gauge theories in three dimensions with matter in the fundamental and adjoint representation. The duality we propose, analogous to mirror symmetry, is obtained starting from $\mathcal{N}=4$ mirror theories and turning on a certain superpotential deformation involving monopole operators. We study the role of emergent symmetries in the dual theory, focusing on the case of models with gauge symmetry $U(2)$ or $SU(2)$. We find that $SU(2)$ adjoint SQCD with one flavor and zero superpotential is dual to SQED with two flavors and three singlets. As a byproduct, we recover several dualities for theories with $\mathcal{N}=2$ and $\mathcal{N}=4$ supersymmetry, including the duality appetizer of Jafferis and Yin.