Modular functor and representation theory of \hat{sl}_{2} at a rational level
Abstract
We define a new modular functor based on KacWakimoto admissible representations and the corresponding Dmodule 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(12),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)"
 Publication:

eprint arXiv:qalg/9511011
 Pub Date:
 November 1995
 DOI:
 10.48550/arXiv.qalg/9511011
 arXiv:
 arXiv:qalg/9511011
 Bibcode:
 1995q.alg....11011M
 Keywords:

 Mathematics  Quantum Algebra;
 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry
 EPrint:
 49 pages