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

B. Feigin. F. Malikov
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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)"

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BibTeXRIS

B. Feigin. F. Malikov. 1995-11-18. Modular functor and representation theory of \hat{sl}_{2} at a rational level. https://arxiv.org/abs/q-alg/9511011

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