3d s-confinement for three-index matters

TL;DR

This paper explores s-confinement phases in 3d supersymmetric gauge theories with three-index matter, deriving exact superpotentials and validating results through multiple methods.

Contribution

It introduces new s-confinement phases for 3d $ ext{SU}(6)$ and $ ext{USp}(6)$ gauge theories with three-index matter and derives their exact superpotentials.

Findings

Confined phases identified for specific gauge theories.

Exact superpotentials derived for low-energy dynamics.

Validation through superconformal indices and deformations.

Abstract

We present s-confinement phases for three-index matters in three-dimensional supersymmetric gauge theories. We find that the 3d $\mathcal{N}=2$ $SU(6)$ and $USp(6)$ gauge theories with three-index anti-symmetric matters show confining phases. The exact superpotentials which describe their low-energy dynamics are derived. We check the validity of our analysis in various ways, including superconformal indices and some deformations.