4d mirror-like dualities

A bstract We construct a family of 4 d N N = 1 theories that we call Eρσ E ρ σ [USp(2 N )] which exhibit a novel type of 4 d IR duality very reminiscent of the mirror duality enjoyed by the 3 d N N = 4 Tρσ T ρ σ [SU( N )] theories. We obtain the Eρσ E ρ σ [USp(2 N )] theories from the recently introduced E [USp(2 N )] theory, by following the RG flow initiated by vevs labelled by partitions ρ and σ for two operators transforming in the antisymmetric representations of the USp(2 N ) × USp(2 N ) IR symmetries of the E [USp(2 N )] theory. These vevs are the 4 d uplift of the ones we turn on for the moment maps of T [SU( N )] to trigger the flow to Tρσ T ρ σ [SU( N )]. Indeed the E [USp(2 N )] theory, upon dimensional reduction and suitable real mass deformations, reduces to the T [SU( N )] theory. In order to study the RG flows triggered by the vevs we develop a new strategy based on the duality webs of the T [SU( N )] and E [USp(2 N )] theories.