Twisted Drinfeld Centers and Framed String-Nets
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913329375608832 |
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| author | Knötzele, Hannes Schweigert, Christoph Traube, Matthias |
| author_facet | Knötzele, Hannes Schweigert, Christoph Traube, Matthias |
| contents | We discuss a string-net construction on 2-framed surfaces, taking as algebraic input a finite, rigid tensor category, which is neither assumed to be pivotal nor semi-simple. It is shown that circle categories of our framed string-net construction essentially compute Drinfeld centers twisted by powers of the double dual functor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_14779 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Twisted Drinfeld Centers and Framed String-Nets Knötzele, Hannes Schweigert, Christoph Traube, Matthias Quantum Algebra Mathematical Physics We discuss a string-net construction on 2-framed surfaces, taking as algebraic input a finite, rigid tensor category, which is neither assumed to be pivotal nor semi-simple. It is shown that circle categories of our framed string-net construction essentially compute Drinfeld centers twisted by powers of the double dual functor. |
| title | Twisted Drinfeld Centers and Framed String-Nets |
| topic | Quantum Algebra Mathematical Physics |
| url | https://arxiv.org/abs/2302.14779 |