Time-dependent backgrounds of 2D string theory: non-perturbative effects
Time-dependent backgrounds of 2D string theory: non-perturbative effects
复制标题
二维弦理论的时间相关背景：非微扰效应
DOI：
10.1088/1126-6708/2005/02/023
复制
发表时间：
2004
影响因子：
5.4
通讯作者：
I. Kostov
中科院分区：
文献类型：
--
作者：
S. Alexandrov;I. Kostov
研究了在快子源产生的含时背景下紧致化二维弦理论配分函数的非微扰修正。正弦刘维尔形变理论就是这种背景下的一个特例。我们使用矩阵量子力学的弦理论的对偶描述来计算主导和次主导NPC。在最小弦理论中，NPC是通过复曲线的双点来分类的。我们用两种不同的方法计算它们：求解户田方程和计算准经典费米子波函数。我们表明，结果可以表示在玻色子场与快子源的相关函数，并确定的领导和subleading修正的贡献，从一点（磁盘）和两点（环）的相关函数。
We study the non-perturbative corrections (NPC) to the partition function of a compactified 2D string theory in a time-dependent background generated by a tachyon source. The sine-Liouville deformation of the theory is a particular case of such a background. We calculate the leading as well as the subleading NPC using the dual description of the string theory as matrix quantum mechanics. As in the minimal string theories, the NPC are classified by the double points of a complex curve. We calculate them by two different methods: by solving Toda equation and by evaluating the quasiclassical fermion wave functions. We show that the result can be expressed in terms of correlation functions of the bosonic field associated with the tachyon source and identify the leading and the subleading corrections as the contributions from the one-point (disk) and two-point (annulus) correlation functions.