Operator algebra from fusion rules II. Implementing apparent singularities.

摘要

Classification of rational conformal field theories is essentially equivalent to classification of all possible four-point functions for the primary fields of the theories. An interesting set of parameters appearing in the latter classification is given by the number and the positions of so-called apparent singularities of the differential equations which are obeyed by the four-point functions. The subject of this paper is a detailed analysis of the role played by these parameters. In particular the restrictions imposed on them by general principles of two-dimensional conformal field theory are worked out, and the implications on the classification programme are discussed. (author). 46 refs. (Atomindex citation 23:076791)