S-confinements from deconfinements

Abstract

Abstract We consider four dimensional $$ \mathcal{N} $$ N = 1 gauge theories that are S-confining, that is they are dual to a Wess-Zumino model. S-confining theories with a simple gauge group have been classified. We prove all the S-confining dualities in the list, when the matter fields transform in rank-1 and/or rank-2 representations. Our only assumptions are the S-confining dualities for SU(N) with N + 1 flavors and for Usp(2N) with 2N + 4 fundamentals. The strategy consists in a sequence of deconfinements and re-confinements. We pay special attention to the explicit superpotential at each step.