On the structure of quantum vertex algebras
© 2020 Author(s). A definition of a quantum vertex algebra, which is a deformation of a vertex algebra, was proposed by Etingof and Kazhdan in 1998 [Sel. Math. 6(1), 105-130 (2000)]. In a nutshell, a quantum vertex algebra is a braided state-field correspondence that satisfies associativity and brai...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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AIP Publishing
2021
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| Online Access: | https://hdl.handle.net/1721.1/136286 |
| _version_ | 1811070592985595904 |
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| author | De Sole, Alberto Gardini, Matteo Kac, Victor G |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics De Sole, Alberto Gardini, Matteo Kac, Victor G |
| author_sort | De Sole, Alberto |
| collection | MIT |
| description | © 2020 Author(s). A definition of a quantum vertex algebra, which is a deformation of a vertex algebra, was proposed by Etingof and Kazhdan in 1998 [Sel. Math. 6(1), 105-130 (2000)]. In a nutshell, a quantum vertex algebra is a braided state-field correspondence that satisfies associativity and braided locality axioms. We develop a structure theory of quantum vertex algebras, parallel to that of vertex algebras. In particular, we introduce braided n-products for a braided state-field correspondence and prove for quantum vertex algebras a version of the Borcherds identity. |
| first_indexed | 2024-09-23T08:38:30Z |
| format | Article |
| id | mit-1721.1/136286 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:38:30Z |
| publishDate | 2021 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1362862023-09-01T19:38:18Z On the structure of quantum vertex algebras De Sole, Alberto Gardini, Matteo Kac, Victor G Massachusetts Institute of Technology. Department of Mathematics © 2020 Author(s). A definition of a quantum vertex algebra, which is a deformation of a vertex algebra, was proposed by Etingof and Kazhdan in 1998 [Sel. Math. 6(1), 105-130 (2000)]. In a nutshell, a quantum vertex algebra is a braided state-field correspondence that satisfies associativity and braided locality axioms. We develop a structure theory of quantum vertex algebras, parallel to that of vertex algebras. In particular, we introduce braided n-products for a braided state-field correspondence and prove for quantum vertex algebras a version of the Borcherds identity. 2021-10-27T20:34:43Z 2021-10-27T20:34:43Z 2020 2021-05-21T16:52:25Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136286 en 10.1063/1.5121626 Journal of Mathematical Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf AIP Publishing arXiv |
| spellingShingle | De Sole, Alberto Gardini, Matteo Kac, Victor G On the structure of quantum vertex algebras |
| title | On the structure of quantum vertex algebras |
| title_full | On the structure of quantum vertex algebras |
| title_fullStr | On the structure of quantum vertex algebras |
| title_full_unstemmed | On the structure of quantum vertex algebras |
| title_short | On the structure of quantum vertex algebras |
| title_sort | on the structure of quantum vertex algebras |
| url | https://hdl.handle.net/1721.1/136286 |
| work_keys_str_mv | AT desolealberto onthestructureofquantumvertexalgebras AT gardinimatteo onthestructureofquantumvertexalgebras AT kacvictorg onthestructureofquantumvertexalgebras |