Sequential deconfinement in $3d$ $\mathcal{N}\!=\!2$ gauge theories

TL;DR

This paper explores a process called deconfinement in 3d N=2 gauge theories, producing dual quiver theories that reveal new insights into their structure and symmetries.

Contribution

It introduces a systematic deconfinement procedure for rank-2 matter fields, resulting in a sequence of dual quiver theories with a fully deconfined dual.

Findings

Deconfined dual quiver has N nodes.

All original chiral ring generators map to gauge singlets.

The process applies to theories with zero superpotential.

Abstract

We consider $3d$ $\mathcal{N}\!=\!2$ gauge theories with fundamental matter plus a single field in a rank-$2$ representation. Using iteratively a process of "deconfinement" of the rank-$2$ field, we produce a sequence of Seiberg-dual quiver theories. We detail this process in two examples with zero superpotential: $Usp(2N)$ gauge theory with an antisymmetric field and $U(N)$ gauge theory with an adjoint field. The fully deconfined dual quiver has $N$ nodes, and can be interpreted as an Aharony dual of theories with rank-$2$ matter. All chiral ring generators of the original theory are mapped into gauge singlet fields of the fully deconfined quiver dual.