3D N=2 (ADE)over-cap Chern-Simons quivers

We study 3d N = 2 Chern-Simons (CS) quiver theories on S-3 and Sigma(g) x S-1. Using localization results, we examine their partition functions in the large rank limit and requiring the resulting matrix models to be local, find a large class of quiver theories that include quivers in one-to-one correspondence with the (ADE) over cap Dynkin diagrams. We compute explicitly the partition function on S-3 for (D) over cap quivers and that on Sigma(g) x S-1 for (AD) over cap quivers, which lead to certain predictions for their holographic duals. We also provide a new and simple proof of the index theorem, extending its applicability to a larger class of theories than considered before in the literature.