Comments on Exact Quantization Conditions and Non-Perturbative Topological Strings

Yasuyuki Hatsuda

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arXiv · 1507.04799

Comments on Exact Quantization Conditions and Non-Perturbative Topological Strings

Yasuyuki Hatsuda

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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.

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Yasuyuki Hatsuda. 2015-07-16. Comments on Exact Quantization Conditions and Non-Perturbative Topological Strings. https://arxiv.org/abs/1507.04799

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