Large N instantons, BPS states, and the replica limit
2024
Online
report
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.
Comment: 45 pages, 5 figures
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Large N instantons, BPS states, and the replica limit
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Autor/in / Beteiligte Person: | Marino, Marcos ; Schwick, Maximilian |
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Veröffentlichung: | 2024 |
Medientyp: | report |
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