Chiral 3d SU(3) SQCD and N=2 mirror duality

TL;DR

This paper explores a 3d $ ext{SU}(3)$ supersymmetric model with $ ext{N}=2$ supersymmetry, proposing a new dual description with both flavor symmetry and supersymmetry manifest, and investigates related mirror dualities.

Contribution

It introduces a third dual description of the $T_x$ model with both symmetries manifest and explores new mirror dualities involving gauged global symmetries and different gauge group structures.

Findings

Proposes a dual description with both flavor symmetry and supersymmetry manifest.

Identifies several $ ext{N}=2$ mirror dualities involving gauged global symmetries.

Conjectures dualities with Wess-Zumino models and discrete gaugings.

Abstract

Recently a very interesting three-dimensional $\mathcal{N}=2$ supersymmetric theory with $SU(3)$ global symmetry was discussed by several authors. We denote this model by $T_x$. This was conjectured to have two dual descriptions, one with explicit supersymmetry and emergent flavor symmetry and the other with explicit flavor symmetry and emergent supersymmetry. We discuss a third description of the model which has both flavor symmetry and supersymmetry manifest. We then investigate models which can be constructed by using $T_x$ as a building block gauging the global symmetry and paying special attention to the global structure of the gauge group. We conjecture several cases of $\mathcal{N}=2$ mirror dualities involving such constructions with the dual being either a simple $\mathcal{N}=2$ Wess-Zumino model or a discrete gauging thereof.