${\varphi }_{\epsilon }$-coordinated modules for vertex algebras

Abstract

We study ${\varphi }_{\epsilon }$-coordinated modules for vertex algebras, where ${\varphi }_{\epsilon }$ 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 ${\varphi }_{\epsilon }$-coordinated modules. We then use these results to study ${\varphi }_{\epsilon }$-coordinated modules for vertex algebras associated to Novikov algebras by Primc.

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