paper

Singular Vectors of the Virasoro Algebra

arXiv:hep-th/9204097 · doi:10.1016/0370-2693(91)90553-3

Abstract

We give expressions for the singular vectors in the highest weight representations of the Virasoro algebra. We verify that the expressions --- which take the form of a product of operators applied to the highest weight vector --- do indeed define singular vectors. These results explain the patterns of embeddings amongst Virasoro algebra highest weight representations.

15 pp

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