A Characterization of Vertex Operator Algebra $${L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}$$
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A Characterization of Vertex Operator Algebra $${L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}$$

  • Author(s): Dong, Chongying;
  • Jiang, Cuipo
  • et al.
Abstract

We study a simple, rational and C 2-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 c = c̃ = 1. Under some additional conditions it is shown that such a vertex operator algebra is isomorphic to $${L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}$$.

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