Q A ] 2 8 N ov 2 00 7 W-algebra W ( 2 , 2 ) and the vertex operator algebra L ( 1 2 , 0 ) ⊗ L ( 1 2 , 0 )
Q A ] 2 8 N ov 2 00 7 W-algebra W ( 2 , 2 ) and the vertex operator algebra L ( 1 2 , 0 ) ⊗ L ( 1 2 , 0 )
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发表时间：
2008
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通讯作者：
Wei Zhang;C. Dong
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文献类型：
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作者：
Wei Zhang;C. Dong
本文研究了W -代数W（2，2）及其表示理论.证明了由两个权2向量生成的单顶点算子代数是与最高不可约W（2，2）-模相关联的顶点算子代数，或者是两个不可约Virasoro顶点算子代数的张量积.进一步地，任何有理的、C2-上有限的、单顶点算子代数，其权1子空间为零，权2子空间为2维，且中心荷c = 1，都同构于L（2，0）<$L（12，0）。
In this paper the W -algebra W (2, 2) and its representation theory are studied. It is proved that a simple vertex operator algebra generated by two weight 2 vectors is either a vertex operator algebra associated to a highest irreducible W (2, 2)-module or a tensor product of two irreducible Virasoro vertex operator algebras. Furthermore, any rational, C2-cofinite and simple vertex operator algebra whose weight 1 subspace is zero and weight 2 subspace is 2-dimensional, and with central charge c = 1 is isomorphic to L( 2 , 0) ⊗ L( 1 2 , 0).