标题： 瞬子在正弦-刘维尔理论中 显示英文标题

标题： Instantons in sine-Liouville theory

摘要： 我们计算了正弦-刘维尔(SL)理论的分割函数的瞬子修正，这提供了在非平凡的tachyon背景下的二维弦理论的世界面描述。我们通过基于矩阵量子力学的chiral表示的矩阵模型公式和弦理论方法推导出这些修正。在两种情况下，我们都限制在弦耦合展开的主导和次主导阶数。然后使用CFT技术来计算SL微扰参数$\lambda$的展开的两个阶数，而矩阵模型给出了在$\lambda$中非微扰的结果。矩阵模型结果在小$\lambda$展开中与弦理论的结果完全匹配。我们还将我们的结果推广到由携带不同动量的多个tachyon顶点算符引起的扰动情况，并获得了关于具有ZZ边界条件的圆盘两点函数和环面一点函数的有趣解析预测。 显示英文摘要

摘要： We compute instanton corrections to the partition function of sine-Liouville (SL) theory, which provides a worldsheet description of two-dimensional string theory in a non-trivial tachyon background. We derive these corrections using a matrix model formulation based on a chiral representation of matrix quantum mechanics and using string theory methods. In both cases we restrict to the leading and subleading orders in the string coupling expansion. Then the CFT technique is used to compute two orders of the expansion in the SL perturbation parameter $\lambda$, while the matrix model gives results which are non-perturbative in $\lambda$. The matrix model results perfectly match those of string theory in the small $\lambda$ expansion. We also generalize our findings to the case of perturbation by several tachyon vertex operators carrying different momenta, and obtain interesting analytic predictions for the disk two-point and annulus one-point functions with ZZ boundary condition.