Associating quantum vertex algebras to certain deformed Heisenberg Lie algebras

TL;DR

This paper constructs quantum vertex algebras linked to specific deformed Heisenberg Lie algebras, expanding the mathematical framework connecting quantum algebra structures.

Contribution

It introduces a novel association between quantum vertex algebras and deformed Heisenberg algebras, providing new tools for their study.

Findings

Established a correspondence between quantum vertex algebras and deformed Heisenberg algebras

Developed $ ext{phi}$-coordinated quasi modules for these algebras

Enhanced understanding of algebraic structures in quantum mathematics

Abstract

We associate quantum vertex algebras and their $\phi$-coordinated quasi modules to certain deformed Heisenberg algebras.