Superconformal index for large N quiver Chern-Simons theories

TL;DR

This paper computes the superconformal index for large N quiver Chern-Simons theories, confirming duality predictions by matching symmetries with their geometric counterparts.

Contribution

It provides explicit calculations of the superconformal index for specific large N theories and verifies their symmetry properties against dual geometric spaces.

Findings

Indices match expected isometry symmetries

First terms of series expansion computed for multiple theories

Supports duality between gauge theories and geometric spaces

Abstract

We investigate the N=2 superconformal index for supersymmetric quiver Chern-Simons theories with large N gauge groups. After general arguments about the large N limit, we compute the first few terms in the series expansion of the index for theories proposed as dual theories to homogeneous spaces V^{5,2}, Q^{1,1,1}, Q^{2,2,2}, M^{1,1,1}, and N^{0,1,0}. We confirm that the indices have symmetries expected from the isometries of dual manifolds.