Superconformal partition functions and non-perturbative topological strings

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...

Full description

Bibliographic Details
Main Authors: Guglielmo Lockhart, Cumrun Vafa
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2018)051
Description
Summary: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.
ISSN:1029-8479