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

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)"

49 pages

References in corpus (2)

• Conformal Blocks for admissible representations in SL(2) current algebra
• Singular vectors by Fusions in affine su(2)

Cited by in corpus (11)

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• Fusion rules and singular vectors of the osp(1|2) current algebra
• Fusion rules for admissible representations of affine algebras: the case of $A_2^{(1)}$
• Quasi-Characters in $\widehat{su(2)}$ Current Algebra at Fractional Levels
• Bundles of chiral blocks and boundary conditions in CFT
• Quantum Langlands duality and mirror symmetry
• Characters of $\widehat{sl}(4{)}_k$ fusion algebra at non-rational level
• $A_{2l}^{(2)}$ at level $-l-\frac{1}{2}$
• Fusion Rules for Affine sl(2|1;C) at Fractional Level k=-1/2