3d $\mathcal{N}=2$ SO/USp adjoint SQCD: s-confinement and exact identites

TL;DR

This paper investigates s-confinement in 3d $ ext{N}=2$ supersymmetric gauge theories with symplectic and orthogonal groups, using exact partition function analysis to confirm known cases and propose new dualities.

Contribution

It relates different s-confining models via mathematical partition function analysis and introduces new s-confining theories with higher fundamentals and vectors.

Findings

Confirmed s-confinement in specific 3d $ ext{N}=2$ models.

Established dualities through adjoint deconfinements.

Proposed new s-confining theories with extended matter content.

Abstract

We study 3d $\mathcal{N}=2$ SQCD with symplectic and orthogonal gauge groups and adjoint matter. For $USp(2n)$ with two fundamentals and $SO(N)$ with one vector these models have been recently shown to s-confine. Here we corroborate the validity of this proposal by relating it to the confinement of $USp(2n)$ with four fundamentals and an antisymmetric tensor, using exact mathematical results coming from the analysis of the partition function on the squashed three-sphere. Our analysis allows us to conjecture new s-confining theories for a higher number of fundamentals and vectors, in presence of linear monopole superpotentials. We then prove the new dualities through a chain of adjoint deconfinements and s-confining dualities.