CFT Correlators for Cardy Bulk Fields via String-Net Models
We show that string-net models provide a novel geometric method to construct invariants of mapping class group actions. Concretely, we consider string-net models for a modular tensor category 𝒞. We show that the datum of a specific commutative symmetric Frobenius algebra in the Drinfeld center 𝛧(𝒞)...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2021 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211309 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | CFT Correlators for Cardy Bulk Fields via String-Net Models. Christoph Schweigert and Yang Yang. SIGMA 17 (2021), 040, 22 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We show that string-net models provide a novel geometric method to construct invariants of mapping class group actions. Concretely, we consider string-net models for a modular tensor category 𝒞. We show that the datum of a specific commutative symmetric Frobenius algebra in the Drinfeld center 𝛧(𝒞) gives rise to invariant string-nets. The Frobenius algebra has the interpretation of the algebra of bulk fields of the conformal field theory in the Cardy case.
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| ISSN: | 1815-0659 |