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 . We show that the datum of a specific commutative symmetric Frobenius algebra in the Drinfeld center () giv...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211309 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | CFT Correlators for Cardy Bulk Fields via String-Net Models. Christoph Schweigert and Yang Yang. SIGMA 17 (2021), 040, 22 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862579780985028608 |
|---|---|
| author | Schweigert, Christoph Yang, Yang |
| author_facet | Schweigert, Christoph Yang, Yang |
| citation_txt | CFT Correlators for Cardy Bulk Fields via String-Net Models. Christoph Schweigert and Yang Yang. SIGMA 17 (2021), 040, 22 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 . We show that the datum of a specific commutative symmetric Frobenius algebra in the Drinfeld center () 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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| first_indexed | 2026-03-13T16:53:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211309 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T16:53:03Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Schweigert, Christoph Yang, Yang 2025-12-29T11:08:16Z 2021 CFT Correlators for Cardy Bulk Fields via String-Net Models. Christoph Schweigert and Yang Yang. SIGMA 17 (2021), 040, 22 pages 1815-0659 2020 Mathematics Subject Classification: 81T40 arXiv:1911.10147 https://nasplib.isofts.kiev.ua/handle/123456789/211309 https://doi.org/10.3842/SIGMA.2021.040 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 . We show that the datum of a specific commutative symmetric Frobenius algebra in the Drinfeld center () 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. We 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications CFT Correlators for Cardy Bulk Fields via String-Net Models Article published earlier |
| spellingShingle | CFT Correlators for Cardy Bulk Fields via String-Net Models Schweigert, Christoph Yang, Yang |
| title | CFT Correlators for Cardy Bulk Fields via String-Net Models |
| title_full | CFT Correlators for Cardy Bulk Fields via String-Net Models |
| title_fullStr | CFT Correlators for Cardy Bulk Fields via String-Net Models |
| title_full_unstemmed | CFT Correlators for Cardy Bulk Fields via String-Net Models |
| title_short | CFT Correlators for Cardy Bulk Fields via String-Net Models |
| title_sort | cft correlators for cardy bulk fields via string-net models |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211309 |
| work_keys_str_mv | AT schweigertchristoph cftcorrelatorsforcardybulkfieldsviastringnetmodels AT yangyang cftcorrelatorsforcardybulkfieldsviastringnetmodels |