3d N=2 SO/USp adjoint SQCD: s-confinement and exact identities

We study 3d 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.(c) 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.

Automated summary

This article studies 3d N = 2 SQCD with symplectic and orthogonal gauge groups and adjoint matter. By relating the confinement of USp(2n) with four fundamentals and an antisymmetric tensor to the confinement of USp(2n) with two fundamentals and SO(N) with one vector, we validate the previous proposal using exact mathematical results 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 the presence of linear monopole superpotentials. We then prove the new dualities through a chain of adjoint deconfinements and s-confining dualities.