Boundary symmetries of (2+1)D topological orders

Kylan Schatz

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arXiv · 2408.10832

Boundary symmetries of (2+1)D topological orders

Kylan Schatz

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Abstract

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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Kylan Schatz. 2024-08-20. Boundary symmetries of (2+1)D topological orders. https://arxiv.org/abs/2408.10832

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