Deforming vertex algebras by vertex bialgebras
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866913301622947840 |
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| author | Jing, Naihuan Kong, Fei Li, Haisheng Tan, Shaobin |
| author_facet | Jing, Naihuan Kong, Fei Li, Haisheng Tan, Shaobin |
| contents | This is a continuation of a previous study initiated by one of us on nonlocal vertex bialgebras and smash product nonlocal vertex algebras. In this paper, we study a notion of right $H$-comodule nonlocal vertex algebra for a nonlocal vertex bialgebra $H$ and give a construction of deformations of vertex algebras with a right $H$-comodule nonlocal vertex algebra structure and a compatible $H$-module nonlocal vertex algebra structure. We also give a construction of $ϕ$-coordinated quasi modules for smash product nonlocal vertex algebras. As an example, we give a family of quantum vertex algebras by deforming the vertex algebras associated to non-degenerate even lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_01464 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Deforming vertex algebras by vertex bialgebras Jing, Naihuan Kong, Fei Li, Haisheng Tan, Shaobin Quantum Algebra This is a continuation of a previous study initiated by one of us on nonlocal vertex bialgebras and smash product nonlocal vertex algebras. In this paper, we study a notion of right $H$-comodule nonlocal vertex algebra for a nonlocal vertex bialgebra $H$ and give a construction of deformations of vertex algebras with a right $H$-comodule nonlocal vertex algebra structure and a compatible $H$-module nonlocal vertex algebra structure. We also give a construction of $ϕ$-coordinated quasi modules for smash product nonlocal vertex algebras. As an example, we give a family of quantum vertex algebras by deforming the vertex algebras associated to non-degenerate even lattices. |
| title | Deforming vertex algebras by vertex bialgebras |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2101.01464 |