Q A ] 2 3 Ja n 20 06 Integrability of C 2-Cofinite Vertex Operator Algebras

@inproceedings{Dong2008QA,
  title={Q A ] 2 3 Ja n 20 06 Integrability of C 2-Cofinite Vertex Operator Algebras},
  author={Chongying Dong and Geoffrey Mason},
  year={2008}
}
The following integrability theorem for vertex operator algebras V satisfying some finiteness conditions (C2-cofinite and CFT-type) is proved: the vertex operator subalgebra generated by a simple Lie subalgebra g of the weight one subspace V1 is isomorphic to the irreducible highest weight ĝ-module L(k, 0) for a positive integer k, and V is an integrable ĝ-module. The case in which g is replaced by an abelian Lie subalgebra is also considered, and several consequences of integrability are… CONTINUE READING

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