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A Characterization of Vertex Operator Algebra $${L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}$$
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https://doi.org/10.1007/s00220-009-0964-4Abstract
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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