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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Communicated by Y. Kawahigashi
Supported by NSF grants and a Faculty research grant from the University of California at Santa Cruz; part of this work was done when C. Dong was a Changjiang Visiting Chair Professor in Sichuan University.
Supported in part by China NSF grants 10871125, 10811120445, and a grant of Science and Technology Commission of Shanghai Municipality (No. 09XD1402500).
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Dong, C., Jiang, C. A Characterization of Vertex Operator Algebra \({L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}\) . Commun. Math. Phys. 296, 69–88 (2010). https://doi.org/10.1007/s00220-009-0964-4
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DOI: https://doi.org/10.1007/s00220-009-0964-4