Communications in Mathematical Physics

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

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

  • Chongying Dong
  • Cuipo Jiang
Open Access


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 \({L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}\).


Vertex Operator Fusion Rule Vertex Operator Algebra Verma Module Irreducible Module 
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Open Access

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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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