Unifying constructions of non-invertible symmetries
Unifying constructions of non-invertible symmetries
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DOI：
10.21468/scipostphys.15.3.122
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发表时间：
2022-12
期刊：
影响因子：
5.5
通讯作者：
Lakshya Bhardwaj;Sakura Schafer-Nameki;A. Tiwari
中科院分区：
文献类型：
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作者：
Lakshya Bhardwaj;Sakura Schafer-Nameki;A. Tiwari
在过去的一年中，量子场论中d≥3d≥3的不可逆对称性的几种构造出现了。在本文中，我们提供了一个统一的角度来看，这些建设。这个框架的核心是所谓的theta缺陷，它概括了theta角的概念，并允许构造普适和非普适拓扑对称缺陷。我们提出了一个数学框架（基于更高的融合类别），将不可逆对称的物理结构转换为一个具体的计算方案，以补充这种物理分析。
In the past year several constructions of non-invertible symmetries in Quantum Field Theory in d≥3d≥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.