English

Comments on Exact Quantization Conditions and Non-Perturbative Topological Strings

High Energy Physics - Theory 2015-09-08 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1507.04799,
  title  = {Comments on Exact Quantization Conditions and Non-Perturbative Topological Strings},
  author = {Yasuyuki Hatsuda},
  journal= {arXiv preprint arXiv:1507.04799},
  year   = {2015}
}

Comments

15 pages, v2: minor corrections, references added

R2 v1 2026-06-22T10:13:34.207Z