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Vertex operator algebras associated to the Virasoro algebra over an arbitrary field

Quantum Algebra 2013-08-02 v1 Representation Theory

Abstract

The vertex operator algebras and modules associated to the highest weight modules for the Virasoro algebra over an arbitrary field F whose characteristic is not equal to 2 are studied. The irreducible modules of vertex operator algebra L(1/2,0)_F are classified. The rationality of L(1/2,0)_F is established if the characteristic of F is different from 7.

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Cite

@article{arxiv.1308.0087,
  title  = {Vertex operator algebras associated to the Virasoro algebra over an arbitrary field},
  author = {Chongying Dong and Li Ren},
  journal= {arXiv preprint arXiv:1308.0087},
  year   = {2013}
}

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20 pages