(2+1)D 拓扑阶的边界对称性

arXiv - MATH - Quantum Algebra Pub Date : 2024-08-20 DOI:arxiv-2408.10832

Kylan Schatz

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引用次数: 0

摘要

我们阐述了描述 (2+1)D 拓扑阶的间隙边界的内部拓扑对称性的代数框架。我们提出了体组对称性和边界对称性一致性的分类障碍，即体理论上的分类作用提升到边界对称性的某个 2 组。

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Boundary symmetries of (2+1)D topological orders

We elaborate an algebraic framework for describing internal topological symmetries of gapped boundaries of (2+1)D topological orders. We present a categorical obstruction to the coherence of bulk group symmetry and boundary symmetries in terms of liftings of categorical actions on the bulk theory to a certain 2-group of boundary symmetries.

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arXiv - MATH - Quantum Algebra

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