Twisted Indices of more 3d Quivers

Abstract

We continue the study of 3d ${\mathcal N}=2$ Chern-Simons (CS) quiver gauge theories on $\Sigma_{\mathfrak{g}}\times S^1$. Using localization results, we compute the twisted index of recently constructed SCFTs in the large rank limit. According to AdS/CFT correspondence, this field theory computation gives a prediction for two quantities corresponding to their holographic duals: the volumes of certain 7-dimensional Sasaki-Einstein manifolds and the entropy of black holes in $\text{AdS}_4\times Y_7$.