Superconformal indices on $S^1\times (S^5/Z_p)$

Abstract

We obtain generating functions associated to the abelian superconformal indices for 6d $(1,0)$ tensor and hypermultiplets on $S^1\times (S^5/Z_p)$. We extract the superconformal indices and their high and low temperature behaviors. We consider round and generically squashed $S^5$ in turn. We show that the unsquashed limit of the superconformal indices is smooth. We examine S-duality in the large $p$ limit that acts by exchanging the Hopf circle with the temporal circle.

44 pages, v2: my equation (5.5) was first found in arXiv:1307.7660 [hep-th]

References in corpus (2)

• Modular invariance on $S^1\times S^3$ and circle fibrations
• Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index

Cited by in corpus (1)

• M2-M5 giant graviton expansions