A Characetrization of Vertex Operator Algebra L ( 12 , 0 ) ⊗ L ( 1 2 , 0 )

Abstract

It is shown that any simple, rational and C2-cofinite vertex operator algebra whose weight 1 subspace is zero, the dimension of weight 2 subspace is greater than or equal to 2 and with central charge c = 1, is isomorphic to L(12 , 0) ⊗ L( 1 2 , 0). 2000MSC:17B69 

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