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arXiv · 2307.13542

Open/Closed BPS Correspondence and Integrality

Song Yu
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Abstract

We prove the integrality and finiteness of open BPS invariants of toric Calabi-Yau 3-folds relative to Aganagic-Vafa outer branes, defined from open Gromov-Witten invariants by the Labastida-Mari\~no-Ooguri-Vafa formula. Specializing to disk invariants, we extend the open/closed correspondence of Gromov-Witten invariants to BPS invariants and prove the integrality of a class of genus-zero BPS invariants of toric Calabi-Yau 4-folds, thereby providing additional examples for the conjecture of Klemm-Pandharipande.

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Song Yu. 2023-07-25. Open/Closed BPS Correspondence and Integrality. https://doi.org/10.1007/s00220-024-05077-5

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