Modular functor and representation theory of \hat{sl}_{2} at a rational level
Abstract
We 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)"
- Publication:
-
eprint arXiv:q-alg/9511011
- Pub Date:
- November 1995
- DOI:
- 10.48550/arXiv.q-alg/9511011
- arXiv:
- arXiv:q-alg/9511011
- Bibcode:
- 1995q.alg....11011M
- Keywords:
-
- Mathematics - Quantum Algebra;
- High Energy Physics - Theory;
- Mathematics - Algebraic Geometry
- E-Print:
- 49 pages