Boundary symmetries of (2+1)D topological orders
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917754227916800 |
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| author | Schatz, Kylan |
| author_facet | Schatz, Kylan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10832 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary symmetries of (2+1)D topological orders Schatz, Kylan Quantum Algebra Strongly Correlated Electrons Mathematical Physics Category Theory 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. |
| title | Boundary symmetries of (2+1)D topological orders |
| topic | Quantum Algebra Strongly Correlated Electrons Mathematical Physics Category Theory |
| url | https://arxiv.org/abs/2408.10832 |