Probing AdS(4)/CFT3 proposals beyond chiral rings

Abstract

We calculate the superconformal Witten index for the Chern-Simons-matter theory which was proposed to describe multiple M2-branes on C-2 x C-2/Zk. We consider a variant of this model, which exhibits explicit N = 3 supersymmetry and has the advantage of not having an exotic branch of the moduli space. At k = 1, we compare the index with that from the proposed gravity dual and find a disagreement.