Comments on Exact Quantization Conditions and Non-Perturbative\n Topological Strings

2015/07/16 by Yasuyuki Hatsuda, Hatsuda, Yasuyuki
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Microtubule and mitosis dynamics

paper · pdf · doi:10.48550/arxiv.1507.04799

openalex publication_date 2015/07/16 · openalex created_date 2022/09/13 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Resummations and Non-Perturbative Corrections
• Exact solutions to quantum spectral curves by topological string theory

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