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arXiv · 1012.5443

Vertex operator algebras associated to modified regular representations of the Virasoro algebra

Igor Frenkel·Minxian Zhu
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Abstract

We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a family of vertex operator algebras of rank $26$ associated to the modified regular representations of the Virasoro algebra. The vertex operators are obtained from the tensor products of intertwining operators for a pair of Virasoro algebras. We explicitly determine the structure coefficients that yield the axioms of VOAs. In the process of our construction, we obtain new hypergeometric identities.

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Igor Frenkel, Minxian Zhu. 2010-12-25. Vertex operator algebras associated to modified regular representations of the Virasoro algebra. https://arxiv.org/abs/1012.5443

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