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Resurgent Wilson loops in refined topological string

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arxiv 2403.04528 v2 pith:N7ASFMMA submitted 2024-03-07 hep-th math-phmath.MP

Jie Gu , Gengbei Guo This is my paper
classification hep-thmath-phmath.MP
keywords refinedlocalloopswilsonborelresurgentsingularitiesstring
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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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  1. Modular resurgence of topological string

    hep-th 2026-07 unverdicted novelty 5.0 of 10

    Stokes constants of topological string non-perturbative contributions are invariant on monodromy orbits, reproduce the BPS spectrum, and satisfy the Kontsevich-Soibelman Lie algebra.

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