2020/02/23 by Shengmao Zhu, Zhu, Shengmao · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2002.09813
openalex publication_date 2020/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we first prove the integrality of open string BPS numbers for a class of toric Calabi-Yau manifolds named generalized conifolds, by applying the method introduced in our previous work \citeLZ to the explicit disk counting formula obtained in \citePS. Then, motivated by the integrality structures in open topological string theory, we introduce a mathematical notion of ``quantum 2-function'' which can be viewed as the quantization of the notion of ``2-function'' introduced in \citeSVW1. Finally, we provide a basic example of quantum 2-function and discuss the quantization of 2-functions.