Modular functor and representation theory of \hat{sl}_{2} at a rational level
q-alg
2008-02-03 v1 alg-geom
High Energy Physics - Theory
Algebraic Geometry
Quantum Algebra
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)"
Keywords
Cite
@article{arxiv.q-alg/9511011,
title = {Modular functor and representation theory of \hat{sl}_{2} at a rational level},
author = {B. Feigin. F. Malikov},
journal= {arXiv preprint arXiv:q-alg/9511011},
year = {2008}
}
Comments
49 pages