New 3d N = 2 SCFT’s with N3/2 scaling

A bstract We construct several novel examples of 3d N = 2 models whose free energy scales as N 3 / 2 at large N . This is the first step towards the identification of field theories with an M-theory dual. Furthermore, we match the volumes extracted from the free energy with the ones computed from the Hilbert series. We perform a similar analysis for the 4d N = 1 parents of the 3d models, matching the volume extracted from the a central charge to that obtained from the Hilbert series. For some of the 4d models, we show the existence of a Sasaki-Einstein metric on the internal space of the candidate type IIB gravity dual.