Integrability of C2-Cofinite Vertex Operator Algebras

作者:Chongying Dong 刊名: 上传者:宋建海

【摘要】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 ?-module L(k; 0) for a positive integer k; and V is an integrable ?-module. The case in which g is replaced by an abelian Lie subalgebra is also considered; and several consequences of integrability are discussed. 2000MSC:17B69