论文标题
拓扑字符串和量子的整体结构$ 2 $ functions
Integrality structures in topological strings and quantum $2$-functions
论文作者
论文摘要
在本文中，我们首先通过将我们以前的工作中引入的方法应用于以\ cite {ps}中获得的显而易见的磁盘计数公式，证明了一类称为广义的对形conifolds的开放字符串BPS编号的完整性。然后，在开放拓扑字符串理论中的完整性结构中，我们介绍了``量子2功能''的数学概念，可以看作是\ cite {svw1}中``2 function''''''2 function'概念的量化。最后，我们提供了量子2功能的基本示例，并讨论了2个功能的量化。
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 \cite{LZ} to the explicit disk counting formula obtained in \cite{PS}. 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 \cite{SVW1}. Finally, we provide a basic example of quantum 2-function and discuss the quantization of 2-functions.
