CFT Correlators for Cardy Bulk Fields via String-Net Models

dc.contributor.authorSchweigert, Christoph
dc.contributor.authorYang, Yang
dc.date.accessioned2025-12-29T11:08:16Z
dc.date.issued2021
dc.description.abstractWe 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.
dc.description.sponsorshipWe thank Alain Bruguieres, Jurgen Fuchs, Eilind Karlsson, and Vincentas Mulevicius for helpful discussions. The authors are partially supported by the RTG 1670 Mathematics inspired by String theory and Quantum Field Theory and by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germanys Excellence Strategy EXC 2121 Quantum Universe-QT.2.
dc.identifier.citationCFT Correlators for Cardy Bulk Fields via String-Net Models. Christoph Schweigert and Yang Yang. SIGMA 17 (2021), 040, 22 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2021.040
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 81T40
dc.identifier.otherarXiv:1911.10147
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211309
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleCFT Correlators for Cardy Bulk Fields via String-Net Models
dc.typeArticle

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