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arXiv · 1210.5909

Superconformal Partition Functions and Non-perturbative Topological Strings

Guglielmo Lockhart·Cumrun Vafa
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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.

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Guglielmo Lockhart, Cumrun Vafa. 2013-04-23. Superconformal Partition Functions and Non-perturbative Topological Strings. https://arxiv.org/abs/1210.5909

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