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Autori principali: Marino, Marcos, Schwick, Maximilian
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2403.14462
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author Marino, Marcos
Schwick, Maximilian
author_facet Marino, Marcos
Schwick, Maximilian
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_14462
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Large N instantons, BPS states, and the replica limit
Marino, Marcos
Schwick, Maximilian
High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
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.
title Large N instantons, BPS states, and the replica limit
topic High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
url https://arxiv.org/abs/2403.14462