A Generalized Crystalline Equivalence Principle
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917195487903744 |
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| author | Stockall, Devon Yu, Matthew |
| author_facet | Stockall, Devon Yu, Matthew |
| contents | We prove a general version of the crystalline equivalence principle which gives an equivalence of categories between a category of TQFTs defined on a generic space with $G$-symmetry, and a category of TQFTs with internal symmetry. We give a definition and classification of anomalies associated to TQFTs in the presence of spatial symmetry, which we then generalize to a definition of an anomaly for a categorical symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10978 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Generalized Crystalline Equivalence Principle Stockall, Devon Yu, Matthew Mathematical Physics Strongly Correlated Electrons High Energy Physics - Theory Category Theory We prove a general version of the crystalline equivalence principle which gives an equivalence of categories between a category of TQFTs defined on a generic space with $G$-symmetry, and a category of TQFTs with internal symmetry. We give a definition and classification of anomalies associated to TQFTs in the presence of spatial symmetry, which we then generalize to a definition of an anomaly for a categorical symmetry. |
| title | A Generalized Crystalline Equivalence Principle |
| topic | Mathematical Physics Strongly Correlated Electrons High Energy Physics - Theory Category Theory |
| url | https://arxiv.org/abs/2508.10978 |