论文标题

一类Calabi-yau几何形状的量子周期和类似TBA的方程

Quantum Periods and TBA-like Equations for a Class of Calabi-Yau Geometries

论文作者

Du, Bao-ning, Huang, Min-xin

论文摘要

我们继续研究量子周期与TBA(热力学伯特Ansatz)类似差异方程之间的新型关系,将先前的作品推广到由三项量子运算符描述的大量Calabi-yau几何形状。我们提供了两种推导类似TBA的方程的方法。一种方法仅使用基本函数,而另一种方法使用FADDEEV的量子diologarithm函数。两种方法提供了与TBA样方程的不同实现,这些方程与同一量子时期相关。

We continue the study of a novel relation between quantum periods and TBA(Thermodynamic Bethe Ansatz)-like difference equations, generalize previous works to a large class of Calabi-Yau geometries described by three-term quantum operators. We give two methods to derive the TBA-like equations. One method uses only elementary functions while the other method uses Faddeev's quantum dilogarithm function. The two approaches provide different realizations of TBA-like equations which are nevertheless related to the same quantum period.

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