标题： 关于与共形边界条件相关的矩阵融合 显示英文标题

标题： On fusing matrices associated with conformal boundary conditions

摘要： 在有理共形场理论（RCFT）的背景下，我们研究当拓扑缺陷与共形边界条件相连时出现的融合矩阵。我们将这种连接称为开放拓扑缺陷。一种类型的融合矩阵出现在两个开放缺陷融合时，另一种则出现在一个开放缺陷穿过边界算符时。我们使用基于模张量范畴中Frobenius代数对象的有理共形场理论的拓扑场论方法，来描述与这些矩阵相关的通用结构，以及如何从给定的Frobenius代数对象及其表示理论中计算它们。我们在有理自由玻色子理论中展示了计算过程。对边界归一化群流的应用进行了简要讨论。 显示英文摘要

摘要： In the context of rational conformal field theories (RCFT) we look at the fusing matrices that arise when a topological defect is attached to a conformal boundary condition. We call such junctions open topological defects. One type of fusing matrices arises when two open defects fuse while another arises when an open defect passes through a boundary operator. We use the topological field theory approach to RCFTs based on Frobenius algebra objects in modular tensor categories to describe the general structure associated with such matrices and how to compute them from a given Frobenius algebra object and its representation theory. We illustrate the computational process on the rational free boson theories. Applications to boundary renormalisation group flows are briefly discussed.