论文标题
拓扑弦分区函数的变性和卡拉比yau三倍的镜子曲线$ x_ {n，m} $
Degeneration of Topological String partition functions and Mirror curves of the Calabi-Yau threefolds $X_{N,M}$
论文作者
论文摘要
在本文中，我们研究了镜曲线的某些退化，与calabi-yau三倍$ x_ {n，m} $相关，以及这些退化对$ x_ {n，m} $的拓扑弦划分函数的影响。我们表明，当镜曲线退化并成为下部属曲线的结合时，相应的分区函数将与对应于退化镜曲线组成的分量相对应的片段。更重要的是，我们证明，使用广义镜曲线的变性，就可以从$ x_ {n，m} $获得对应于$ x_ {n，m-1} $的分区函数。
In this paper we study certain degenerations of the mirror curves, associated with Calabi-Yau threefolds $X_{N,M}$, and the effect of these degenerations on the topological string partition function of $X_{N,M}$. We show that when the mirror curve degenerates and become the union of the lower genus curves the corresponding partition function factorizes into pieces corresponding to the components of the degenerate mirror curve. Moreoever we show that using degeneration of a generalised mirror curve it is possible to obtain the partition function corresponding to $X_{N,M-1}$ from $X_{N,M}$.
