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Large N instantons, BPS states, and the replica limit

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arxiv 2403.14462 v1 pith:HMEIHWLE submitted 2024-03-21 hep-th math-phmath.AGmath.MP

Marcos Marino , Maximilian Schwick This is my paper
classification hep-thmath-phmath.AGmath.MP
keywords instantonslargeresurgenttopologicalcasefixedlimitmodels
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We study the relation between large N instantons and conventional instantons, focusing on matrix models and topological strings. We show that the resurgent properties of the perturbative series at fixed but arbitrary N, including the replica limit N = 0, can be obtained from large N instantons. In the case of topological strings, it has been conjectured that the resurgent structure encoded by large N instantons is closely related to the spectrum of BPS states. We give direct evidence for this connection in the case of Seiberg-Witten theory and other topological string models, and we show in detail how the resurgent properties at fixed N follow from the large N theory, and therefore can be used to obtain information on BPS invariants.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The non-perturbative topological string: from resurgence to wall-crossing of DT invariants

    hep-th 2026-04 unverdicted novelty 8.0 of 10

    An isomorphism is shown between the algebra of alien derivatives acting on the topological string partition function and the Kontsevich-Soibelman Lie algebra, linking resurgence to DT wall-crossing with numerical matc...

  2. The non-perturbative topological string: from resurgence to wall-crossing of DT invariants

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    Links resurgence of the topological string partition function to DT wall-crossing via an isomorphism of alien derivative algebras to the Kontsevich-Soibelman Lie algebra, with Borel singularities matched to specific D...

  3. Thou shalt not tunnel: Complex instantons and tunneling suppression in deformed quantum mechanics

    hep-th 2026-02 unverdicted novelty 7.0 of 10

    Deformed quantum mechanics from Seiberg-Witten curves shows phases with real or complex instantons, leading to tunneling suppression at Toda points and anomalous scaling at critical monopole points.

  4. Exact WKB of solutions by Borel summation and open TBA

    hep-th 2025-07 conditional novelty 7.0 of 10

    Borel-summed WKB solutions of quantum Seiberg-Witten equations are matched, numerically, to GMN open TBA solutions for the Weber and modified Mathieu equations.

  5. 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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