Modular Functor and Representation Theory of Corresponding sl(sub 2) at aRational Level

摘要

The authors define a new modular functor based on Kac-Wakimoto admissiblerepresentations and the corresponding D-module on the moduli space of rank 2 vector bundles with parabolic structure. A new fusion functor arises which is related to the representation theory of the pair 'osp(1/2),st2' in the same way as the fusion functor for the Virasoro algebra is related to the representation theory of the pair 'st2,sl2'.