与李代数■_2相关的顶点算子代数N(k,0)及不可约模

Vertex Operator Algebra Associated to Affine Lie Algebra and Its Irreducible Modules

介绍了仿射李代数■_2的构造,并研究和构造了■_2上Z+-分次的顶点算子代数N(k,0)。再由A(V)理论算出了顶点算子代数L(1,0)不可约模L(1,μ)的分类情况。

The paper study the structure of affine Lie algebra A,and Z＋ graded vertex operator algebra N（k,0） associated to affine Lie algebra A.Using A（V） theory,it obtain the classification of irreducible modules L（1,μ） of vertex operator algebra L（1,0）.