Superconformal Partition Functions and Non-perturbative Topological Strings
High Energy Physics - Theory
2013-04-24 v3
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.
Cite
@article{arxiv.1210.5909,
title = {Superconformal Partition Functions and Non-perturbative Topological Strings},
author = {Guglielmo Lockhart and Cumrun Vafa},
journal= {arXiv preprint arXiv:1210.5909},
year = {2013}
}
Comments
51 pages, 5 figures; added clarification of the relation between topological strings and a generalization of the triple sine function