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Singular Vectors of the Virasoro Algebra

High Energy Physics - Theory 2009-10-22 v1

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.

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Cite

@article{arxiv.hep-th/9204097,
  title  = {Singular Vectors of the Virasoro Algebra},
  author = {A. Kent},
  journal= {arXiv preprint arXiv:hep-th/9204097},
  year   = {2009}
}

Comments

15 pp