Categorical Fermionic Actions and Minimal Modular Extensions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2017
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| _version_ | 1866908589793214464 |
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| author | Galindo, César Venegas-Ramírez, César F. |
| author_facet | Galindo, César Venegas-Ramírez, César F. |
| contents | We define fermionic actions of finite super-groups on fermionic fusion categories and establish necessary and sufficient conditions for their existence. Our main result characterizes when a braided fusion category admits a minimal non-degenerate extension in terms of cohomological obstructions. This characterization for braided fusion categories with non-Tannakian Müger center involves the fermionic structures and fermionic actions introduced in this work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1712_07097 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Categorical Fermionic Actions and Minimal Modular Extensions Galindo, César Venegas-Ramírez, César F. Quantum Algebra We define fermionic actions of finite super-groups on fermionic fusion categories and establish necessary and sufficient conditions for their existence. Our main result characterizes when a braided fusion category admits a minimal non-degenerate extension in terms of cohomological obstructions. This characterization for braided fusion categories with non-Tannakian Müger center involves the fermionic structures and fermionic actions introduced in this work. |
| title | Categorical Fermionic Actions and Minimal Modular Extensions |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/1712.07097 |