paper

Comments on Exact Quantization Conditions and Non-Perturbative Topological Strings

arXiv:1507.04799

Abstract

We give some remarks on exact quantization conditions associated with quantized mirror curves of local Calabi-Yau threefolds, conjectured in arXiv:1410.3382. It is shown that they characterize a non-perturbative completion of the refined topological strings in the Nekrasov-Shatashvili limit. We find that the quantization conditions enjoy an exact S-dual invariance. We also discuss Borel summability of the semi-classical spectrum.

15 pages, v2: minor corrections, references added

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