Modular functor and representation theory of sl₂ at a rational level

1995/11/18 by B. Feigin. F. Malikov, Malikov, B. Feigin. F.
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #alg-geom #hep-th #math.AG #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9511011

49 pages

arxiv created 1995/11/18 · openalex publication_date 1995/11/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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