Superconformal Partition Functions and Non-perturbative Topological Strings
arXiv:1210.5909
Abstract
We propose a non-perturbative definition for refined topological strings. This can be used to compute the partition function of superconformal theories in 5 dimensions on squashed S^5 and the superconformal index of a large number of 6 dimensional (2,0) and (1,0) theories, including that of N coincident M5 branes. The result can be expressed as an integral over the product of three combinations of topological string amplitudes. SL(3,Z) modular transformations acting by inverting the coupling constants of the refined topological string play a key role.
51 pages, 5 figures; added clarification of the relation between topological strings and a generalization of the triple sine function