$\phi_\epsilon$-coordinated modules for vertex algebras

Chengming Bai; Haisheng Li; Yufeng Pei

$\phi_\epsilon$-coordinated modules for vertex algebras

Quantum Algebra 2014-01-17 v1

Authors: Chengming Bai , Haisheng Li , Yufeng Pei

Abstract

We study $\phi_\epsilon$ -coordinated modules for vertex algebras, where $\phi_\epsilon$ with $\epsilon$ an integer parameter is a family of associates of the one-dimensional additive formal group. As the main results, we obtain a Jacobi type identity and a commutator formula for $\phi_\epsilon$ -coordinated modules. We then use these results to study $\phi_\epsilon$ -coordinated modules for vertex algebras associated to Novikov algebras by Primc.

Keywords

vertex operator algebras associative algebras module theory

Cite

@article{arxiv.1401.3981,
  title  = {$\phi_\epsilon$-coordinated modules for vertex algebras},
  author = {Chengming Bai and Haisheng Li and Yufeng Pei},
  journal= {arXiv preprint arXiv:1401.3981},
  year   = {2014}
}

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