Communications in Mathematical Physics

, Volume 296, Issue 1, pp 69–88 | Cite as

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

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Article

Abstract

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

Notes

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This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaSanta CruzUSA
  2. 2.School of MathematicsSichuan UniversityChengduChina
  3. 3.Department of MathematicsShanghai Jiaotong UniversityShanghaiChina

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