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arXiv · 2101.01464

Deforming vertex algebras by vertex bialgebras

Naihuan Jing·Fei Kong·Haisheng Li·Shaobin Tan
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Abstract

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 $\phi$-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.

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Naihuan Jing, Fei Kong, Haisheng Li, Shaobin Tan. 2021-01-05. Deforming vertex algebras by vertex bialgebras. https://doi.org/10.1142/s0219199722500675

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