Open/Closed BPS Correspondence and Integrality
Algebraic Geometry
2024-08-27 v3 High Energy Physics - Theory
Symplectic Geometry
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.
Cite
@article{arxiv.2307.13542,
title = {Open/Closed BPS Correspondence and Integrality},
author = {Song Yu},
journal= {arXiv preprint arXiv:2307.13542},
year = {2024}
}
Comments
29 pages, 2 figures