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Large N instantons, BPS states, and the replica limit

Marcos Marino, Maximilian Schwick

21/3/24 Published in : arXiv:2403.14462

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.

Entire article

Phase I & II research project(s)

  • String Theory
  • Geometry, Topology and Physics

Phase III direction(s)

  • Holography and bulk-boundary correspondence
  • From Field Theory to Geometry and Topology

A scaling limit of the 2D parabolic Anderson model with exclusion interaction

Non-holomorphic modular forms from zeta generators

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The National Centres of Competence in Research (NCCRs) are a funding scheme of the Swiss National Science Foundation

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