On the 3d compactifications of 5d SCFTs associated with SU(N + 1) gauge theories

Abstract

Abstract We study the 3d$$ \mathcal{N} $$ N = 2 theories resulting from the compactification of a family of 5d SCFTs on a torus with flux in the global symmetry. The family of 5d SCFTs used in the analysis is the one that UV completes the 5d SU(N + 1) gauge theories with Chern-Simons level k and Nf fundamental hypermultiplets, generalizing the previous investigation of the torus compactifications of the rank 1 Seiberg $$ {E}_{N_{f+1}} $$ E N f + 1 SCFT (which is the N = 1 member of the family). This construction systematically yields three-dimensional theories presenting highly non-trivial non-perturbative phenomena such as infra-red dualities and enhanced symmetries, which we check using various methods.