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| Principais autores: | , |
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| Formato: | Preprint |
| Publicado em: |
2024
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| Acesso em linha: | https://arxiv.org/abs/2406.08458 |
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| _version_ | 1866909222531235840 |
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| author | Bakalov, Bojko Villarreal, Juan J. |
| author_facet | Bakalov, Bojko Villarreal, Juan J. |
| contents | We study a family of algebras defined using a locally-finite endomorphism called a braiding map. When the braiding map is semi-simple, the algebra is a generalized vertex algebra, while when the braiding map is locally-nilpotent we have a logarithmic vertex algebra. We describe a method that associates to these algebras non-local Poisson vertex algebras, and we use this relation to build a new example of a generalized vertex algebra motivated by the non-linear Schrödinger non-local Poisson vertex algebra |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08458 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Braided Logarithmic Vertex Algebras Bakalov, Bojko Villarreal, Juan J. Quantum Algebra Mathematical Physics Primary 17B69, Secondary 17B63, 81R10, 81T40 We study a family of algebras defined using a locally-finite endomorphism called a braiding map. When the braiding map is semi-simple, the algebra is a generalized vertex algebra, while when the braiding map is locally-nilpotent we have a logarithmic vertex algebra. We describe a method that associates to these algebras non-local Poisson vertex algebras, and we use this relation to build a new example of a generalized vertex algebra motivated by the non-linear Schrödinger non-local Poisson vertex algebra |
| title | Braided Logarithmic Vertex Algebras |
| topic | Quantum Algebra Mathematical Physics Primary 17B69, Secondary 17B63, 81R10, 81T40 |
| url | https://arxiv.org/abs/2406.08458 |