ϕεϕ_ε-coordinated modules for vertex algebras

preprint2014arXivOpen access

Abstract

We study ϕεϕ_ε-coordinated modules for vertex algebras, where ϕεϕ_ε with εε 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 ϕεϕ_ε-coordinated modules. We then use these results to study ϕεϕ_ε-coordinated modules for vertex algebras associated to Novikov algebras by Primc.

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