Superconformal index for N=3 ADEˆ Chern-Simons quiver gauge theories

Abstract

We compute superconformal indices for N=3 ADEˆ Chern-Simons quiver gauge theories with a product gauge group ∏iU(N)i, using the method of supersymmetric localization. We also perform a large N analysis of the index. This index includes contribution from non zero magnetic flux sector. The fact that these theories have a weakly coupled UV completion in terms of N=3 supersymmetric Chern-Simons Yang-Mills theories enables us to apply the localization technique. Such theories have dual M-theory description on AdS4×M7, where M7 is a tri-Sasaki Einstein manifold.