Resurgent Wilson loops in refined topological string

Jie Gu; Gengbei Guo

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arXiv · 2403.04528

Resurgent Wilson loops in refined topological string

Jie Gu·Gengbei Guo

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Abstract

We study the resurgent structures of Wilson loops in refined topological string theory. We argue that the Borel singularities should be integral periods, and that the associated Stokes constants are refined Donaldson-Thomas invariants, just like the free energies, except that the Borel singularities cannot be local flat coordinates. We also solve the non-perturbative series in closed form from the holomorphic anomaly equations for the refined Wilson loops. We illustrate these results with the examples of local P^2 and local P^1 x P^1.

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Jie Gu, Gengbei Guo. 2024-03-07. Resurgent Wilson loops in refined topological string. https://arxiv.org/abs/2403.04528

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