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

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

2010-12-25

arxiv.org/abs/1012.5443v1

Mathematics

Quantum Algebra

29 pages

Scientific paper

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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