二维量子场论中的缺陷自旋
Spin from defects in two-dimensional quantum field theory
摘要：
我们建立了二维量子场论的自旋表面上的理论开始的定向表面与网络的拓扑缺陷线和结。该结构使用了一个组合描述的自旋结构的三角测量配备了额外的数据。自旋表面的振幅被定义为下面的定向表面的振幅连同与三角测量对偶的缺陷网络。独立的三角形和其他选择如下，如果线缺陷和路口是从一个三角可分Frobenius代数与对合中山自同构的monoidal类别的拓扑缺陷。对于有理共形场论，我们可以给出一个更明确的亏损范畴的描述，我们详细地给出了两个与自由费米子有关的例子：伊辛模型和水平1的so（n）WZW模型。
英文摘要：
We build two-dimensional quantum field theories on spin surfaces starting from theories on oriented surfaces with networks of topological defect lines and junctions. The construction uses a combinatorial description of the spin structure in terms of a triangulation equipped with extra data. The amplitude for the spin surfaces is defined to be the amplitude for the underlying oriented surface together with a defect network dual to the triangulation. Independence of the triangulation and of the other choices follows if the line defect and junctions are obtained from a Delta-separable Frobenius algebra with involutive Nakayama automorphism in the monoidal category of topological defects. For rational conformal field theory we can give a more explicit description of the defect category, and we work out two examples related to free fermions in detail: the Ising model and the so(n) WZW model at level 1.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
