Modular functor and representation theory of \hat{sl}_{2} at a rational level

Details Modular functor and representation theory of \hat{sl}_{2} at a rational level Modular functor and representation theory of \hat{sl}_{2} at a rational level

1995-11-18

arxiv.org/abs/q-alg/9511011v1

Physics

High Energy Physics

High Energy Physics - Theory

49 pages

Scientific paper

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)"

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