仿射李代数的Sl(n,C)顶点算子表示V_Q上的顶点代数结构(英文)

A Vertex Algebra Structure on the Representation V_Q of Untwisted Affine Lie Algebra Sl(n,C)

摘要: 利用李代数表示论研究了仿射李代数Sl(n,C)的顶点算子表示VQ上的顶点代数结构,并利用形式幂级数的计算方法证明VQ是一个顶点代数,然后给出了它上面的保角向量

Abstract: The vertex operator structure on the representation VQ of untwisted affine algebra associated with Sl(n,C) is studied by using the representation theory of Lie algebra.Moreover,it is proved that VQ is a vertex operator algebra according to the calculus methods of formal distributions,and then the conformal vector on the vertex algebra VQ is given.