标题： 弦理论中的标度行为 显示英文标题

标题： Scaling Behavior in String Theory

摘要： 在异质弦理论的卡拉比-丘紧化中存在一些量，这些量具有普遍性，即它们存在于每一个卡拉比-丘弦真空之中。 结果显示，这种普遍特性以标度指数的形式提供了关于弦理论基态空间的数值信息。 重点是两个物理量。 第一个是特定反代数的 Yukawa 耦合，在四维空间中由于超对称性而被诱导出来。 第二个是理论拓扑部分的划分函数，在单环世界面之上进行评估，这一量与量子镜像对称性和阈值修正相关。 结果显示，这两个量都相对于一个新的标度变量表现出标度行为，并且它们之间也存在一个标度关系。 显示英文摘要

摘要： In Calabi--Yau compactifications of the heterotic string there exist quantities which are universal in the sense that they are present in every Calabi--Yau string vacuum. It is shown that such universal characteristics provide numerical information, in the form of scaling exponents, about the space of ground states in string theory. The focus is on two physical quantities. The first is the Yukawa coupling of a particular antigeneration, induced in four dimensions by virtue of supersymmetry. The second is the partition function of the topological sector of the theory, evaluated on the genus one worldsheet, a quantity relevant for quantum mirror symmetry and threshold corrections. It is shown that both these quantities exhibit scaling behavior with respect to a new scaling variable and that a scaling relation exists between them as well.