论文标题

拓扑领域理论的广义对称性

Generalized symmetries of topological field theories

论文作者

Gripaios, Ben, Randal-Williams, Oscar, Tooby-Smith, Joseph

论文摘要

我们在简化的舞台上研究了广义的对称性,在该领域中,通常遗忘了物理学的平滑结构,通常遗忘了物理学的平滑结构。这样做可以使用同义理论的工具来回答许多身体兴趣的问题。我们研究了全球和量规对称性,以及't Hooft异常,我们显示为两个类别之一。我们的方法还可以深入了解拓扑领域理论的对称性(或非广义)的早期工作。

We study generalized symmetries in a simplified arena in which the usual quantum field theories of physics are replaced with topological field theories and the smooth structure with which the symmetry groups of physics are usually endowed is forgotten. Doing so allows many questions of physical interest to be answered using the tools of homotopy theory. We study both global and gauge symmetries, as well as `t Hooft anomalies, which we show fall into one of two classes. Our approach also allows some insight into earlier work on symmetries (generalized or not) of topological field theories.

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