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arXiv · 1212.5102

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

Haisheng Li
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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 $\phi$-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 $\phi$-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 $\phi$-coordinated quasi modules.

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Haisheng Li. 2012-12-20. $G$-covariant $\phi$-coordinated quasi modules for quantum vertex algebras. https://doi.org/10.1063/1.4807437

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