dorsal/arxiv
View SchemaModular functor and representation theory of \hat{sl}_{2} at a rational level
| Authors | B. Feigin. F. Malikov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9511011 |
| URL | https://arxiv.org/abs/q-alg/9511011 |
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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"date_created": "2026-03-02T18:01:28.095000Z",
"date_modified": "2026-03-02T18:01:28.095000Z",
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"abstract": "We define a new modular functor based on Kac-Wakimoto admissible\nrepresentations and the corresponding D-module on the moduli space of rank 2\nvector bundles with parabolic structure. A new fusion functor arises which is\nrelated to representation theory of the pair \"osp(1|2),sl(2)\" in the same way\nas the fusion functor for the Virasoro algebra is related to representation\ntheory of the pair \"sl(2),sl(2)\"",
"arxiv_id": "q-alg/9511011",
"authors": [
"B. Feigin. F. Malikov"
],
"categories": [
"q-alg",
"alg-geom",
"hep-th",
"math.AG",
"math.QA"
],
"title": "Modular functor and representation theory of \\hat{sl}_{2} at a rational level",
"url": "https://arxiv.org/abs/q-alg/9511011"
},
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