English

Deformation quantization of vertex Poisson algebras

Quantum Algebra 2016-07-08 v1

Abstract

We introduce dg Lie algebras controlling the deformations of vertex algebras and vertex Poisson algebras, utilizing the notion of operadic dg Lie algebra and the theory of chiral algebra. In terms of those dg Lie algebras, we formulate the deformation quantization problem of vertex Poisson algebras to vertex algebras.

Keywords

Cite

@article{arxiv.1607.02068,
  title  = {Deformation quantization of vertex Poisson algebras},
  author = {Shintarou Yanagida},
  journal= {arXiv preprint arXiv:1607.02068},
  year   = {2016}
}

Comments

22 pages

R2 v1 2026-06-22T14:48:24.083Z