$G$-covariant $\varphi$-coordinated quasi modules for quantum vertex algebras

Abstract

This is a paper in a series to study quantum vertex algebras and their relations with various quantum algebras. In this paper, we introduce a notion of T-type quantum vertex algebra and a notion of $G$-covariant $\varphi$-coordinated quasi module for a $T$-type quantum vertex algebra with an automorphism group $G$. We refine and extend several previous results and we obtain a commutator formula for $G$-covariant $\varphi$-coordinated quasi modules. As an illustrating example, we study a special case of the deformed Virasoro algebra $\V_{p,q}$ with $q=-1$, to which we associate a Clifford vertex superalgebra and its $G$-covariant $\varphi$-coordinated quasi modules.

35 pages

References in corpus (1)

• Constructing quantum vertex algebras

Cited by in corpus (3)

• $(G,{\chi }_{\varphi })$-equivariant $\varphi$-coordinated quasi modules for nonlocal vertex algebras
• Quantum affine vertex algebras associated to untwisted quantum affinization algebras
• Deforming vertex algebras by vertex bialgebras