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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 4 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. 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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