paper

Open/Closed BPS Correspondence and Integrality

arXiv:2307.13542 · doi:10.1007/s00220-024-05077-5

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-Mariño-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.

29 pages, 2 figures

Open/Closed BPS Correspondence and Integrality · wovepaper