Logarithmic Vertex Algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866909059188260864 |
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| author | Bakalov, Bojko Villarreal, Juan J. |
| author_facet | Bakalov, Bojko Villarreal, Juan J. |
| contents | We introduce and study the notion of a logarithmic vertex algebra, which is a vertex algebra with logarithmic singularities in the operator product expansion of quantum fields; thus providing a rigorous formulation of the algebraic properties of quantum fields in logarithmic conformal field theory. We develop a framework that allows many results about vertex algebras to be extended to logarithmic vertex algebras, including in particular the Borcherds identity and Kac Existence Theorem. Several examples are investigated in detail, and they exhibit some unexpected new features that are peculiar to the logarithmic case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_10206 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Logarithmic Vertex Algebras Bakalov, Bojko Villarreal, Juan J. Quantum Algebra Mathematical Physics Primary 17B69, Secondary 81R10, 81T40 We introduce and study the notion of a logarithmic vertex algebra, which is a vertex algebra with logarithmic singularities in the operator product expansion of quantum fields; thus providing a rigorous formulation of the algebraic properties of quantum fields in logarithmic conformal field theory. We develop a framework that allows many results about vertex algebras to be extended to logarithmic vertex algebras, including in particular the Borcherds identity and Kac Existence Theorem. Several examples are investigated in detail, and they exhibit some unexpected new features that are peculiar to the logarithmic case. |
| title | Logarithmic Vertex Algebras |
| topic | Quantum Algebra Mathematical Physics Primary 17B69, Secondary 81R10, 81T40 |
| url | https://arxiv.org/abs/2107.10206 |