发表机构
Rutgers University; The Hebrew University; CERN; University of Geneva（罗格斯大学; 希伯来大学; 欧洲核子研究组织; 日内瓦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对李群$G$、level $k$和李子群$H$，对比规范WZW模型与GKO陪集构造的二维共形场理论，指出二者与二维拓扑场论耦合的差异，构造实例并讨论其在弦论等领域的应用。
AI 中文摘要
给定一个李群$G$、一个level $k$和一个李子群$H$，可以通过以下两种方式构造二维共形场理论：1.) 对由$(G,k)$构造的WZW模型的无奇异性$H$对称性进行规范；或2.) 使用称为GKO陪集构造的代数方法。这两个模型密切相关，但并不完全相同：规范WZW模型与耦合到二维拓扑场论的相应GKO模型等价。该拓扑理论的特征是一个交换弗罗贝尼乌斯代数，它由从$(G,H,k)$构造的模张量范畴中的代数对象的自同态导出。两个模型在环面上的配分函数相差该自同态代数的维数因子。本文构造了具体实例，并简要讨论了其在弦论以及耦合无奇异性物质的二维杨-米尔斯理论中的一些应用。本文是一篇篇幅更长的姊妹论文的摘要。
英文摘要
Given a Lie group $G$, a level $k$, and a Lie subgroup $H$ one can construct 2d conformal field theories by either 1.) gauging a nonanomalous $H$ symmetry of the WZW model constructed from $(G,k)$ or 2.) using an algebraic procedure known as the GKO coset construction. The two models are closely related, but not precisely the same: The gauged WZW model is identified with the corresponding GKO model coupled to a 2d topological field theory. The topological theory is characterized by a commutative Frobenius algebra derived from the endomorphisms of an algebra object in a modular tensor category constructed from $(G,H,k)$. The partition function on the torus of the two models differ by a factor of the dimension of this algebra of endomorphisms. Concrete examples are constructed and some applications to string theory and 2d Yang-Mills coupled to nonanomalous matter are briefly discussed. This paper is a summary of a longer companion paper.
Comments37 pages, Some inaccuracies and typos fixed. The main conclusions are unchanged
