Refined test of AdS(4)/CFT3 correspondence for N=2, 3 theories

Abstract

We investigate the superconformal indices for the Chern-Simons-matter theories proposed for M2-branes probing the cones over N-010/Z(k), Q(111), M-32 with N = 2, 3 supersymmetries and compare them with the corresponding dual gravity indices. For N-010, we find perfect agreements. In addition, for N-010/Z(k), we also find an agreement with the gravity index including the contributions from two types of D6-branes wrapping RP3. For Q(111), we find that the model obtained by adding fundamental flavors to the N = 6 theory has the right structure to be the correct model. For M-32, we find the matching with the gravity index modulo contributions from peculiar saddle points.