二维共形群代数的表示和分类及其在临界现象中的应用

Representation and Classification of the Algebra of Two Dimensional Groups and Application to Critical Phenomena

摘要: 在BPZ理论的基础上,系统地推导了二维共形群的Virasoro代数的表示空间,Kac行列式的计算和FQS对共形群代数的分类,以及该理论在临界现象中的应用。

Abstract: On the basis of BPZ theory, the representation space of Virasoro algebra of 2-D conformal groups, classification of conformal groups abgebres acquired by FQS and calculation of Kac determinants are derived and applied to critical phenomena.