1. Deforming vertex algebras by vertex bialgebras.
- Author
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Jing, Naihuan, Kong, Fei, Li, Haisheng, and Tan, Shaobin
- Subjects
ALGEBRA ,VERTEX operator algebras - Abstract
This is a continuation of a previous study initiated by the third author 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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