2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153458We define a new modular functor based on Kac-Wakimoto admissible representations 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 representation theory of the pair "osp(1|2),sl(2)" in the same way as the fusion functor for the Virasoro algebra is related to representation theory of the pair "sl(2),sl(2)"49 pagesQuantum AlgebraAlgebraic GeometryHigh Energy Physics - TheoryModular functor and representation theory of \hat{sl}_{2} at a rational leveltext