标题： 关于玻色弦理论中带孔圆盘和带柄圆盘的配分函数 显示英文标题

标题： On disc-with-hole and disc-with-handle partition functions in bosonic string theory

摘要： 弦世界面具有边界的整体函数在计算威尔逊圈期望值的量子修正时是相关的。作为可能研究AdS等弯曲空间中的弦的准备，我们考虑了玻色弦理论中平坦空间中弦世界面终止于圆周的一维分区函数的例子。我们从环面拓扑的分区函数开始，将其写为环面模数的积分。在此过程中，我们计算了环面上对于狄利克雷-狄利克雷和狄利克雷-纽曼边值条件的拉普拉斯算子的行列式。然后，我们使用粘合方法考虑了有把柄的盘状拓扑的情况。我们首先用模空间的施托克参数化来写出分区函数，然后将其表示为周期矩阵的积分。 显示英文摘要

摘要： Higher genus partition functions of string world sheets with boundaries are relevant, e.g. for computation of quantum corrections to Wilson loop expectation values. As a preparation for a possible study of strings in curved space like AdS here we consider examples of genus one partition functions of string world-sheets ending on a circle in the bosonic string theory in flat space. We begin with the partition function for annular topology, writing it as an integral over the modulus of the annulus. In the process, we compute the determinant of the Laplacian on the annulus for Dirichlet-Dirichlet and Dirichlet-Neumann boundary conditions. We then consider the case of the disc-with-handle topology using the gluing method. We first write the partition function using a Schottky parameterisation of the moduli space and then as an integral over the period matrix.