Supersymmetric states in large N Chern-Simons-matter theories

In this paper we study the spectrum of BPS operators/states in N=2 superconformal U(N)Chern-Simons-matter theories with adjoint chiral matter fields, with and without super potential. The superconformal indices and conjectures on the full super symmetric spectrum of the theories in the large N limit with up to two adjoint matterfields are presented. Our results suggest that some of these theories may have supergravity duals at strong coupling, while someothers may be dual to higher spin theories of gravity at strong coupling. For the N=2 theory with no super potential, we study the renormalization of R-charge at finite 't Hooft coupling using Z-minimization. A particularlyintriguing result is found in the case of one adjoint matter.