论文标题
统一的不可逆转对称性的结构
Unifying Constructions of Non-Invertible Symmetries
论文作者
论文摘要
在过去的一年中，$ d \ geq 3 $中的量子场理论中不可变形对称性的几个结构出现了。在本文中，我们就这些结构提供了统一的观点。该框架的核心是所谓的theta缺陷，它概括了theta-angles的概念，并允许构建通用和非世界性拓扑对称性缺陷。我们通过提出一个数学框架（基于高融合类别）来补充这种物理分析，该框架将不可转化的对称性的物理结构转换为具体的计算方案。
In the past year several constructions of non-invertible symmetries in Quantum Field Theory in $d\geq 3$ have appeared. In this paper we provide a unified perspective on these constructions. Central to this framework are so-called theta defects, which generalize the notion of theta-angles, and allow the construction of universal and non-universal topological symmetry defects. We complement this physical analysis by proposing a mathematical framework (based on higher-fusion categories) that converts the physical construction of non-invertible symmetries into a concrete computational scheme.
