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Article Dans Une Revue Mathematical Research Letters Année : 2014

Strange duality revisited

Résumé

We give a proof of the strange duality or rank-level duality of the WZW models of conformal blocks by extending the genus-0 result, obtained by Nakanishi-Tsuchiya in 1992, to higher genus curves via the sewing procedure. The new ingredient of the proof is an explicit use of the branching rules of the conformal embedding of the affine Lie algebras sl(r) x sl(l) in sl(rl). We recover the strange duality of spaces of generalized theta functions obtained by Belkale, Marian-Oprea, as well as by Oudompheng in the parabolic case.

Dates et versions

hal-00759972 , version 1 (03-12-2012)

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Christian Pauly. Strange duality revisited. Mathematical Research Letters, 2014, 21 (6), pp.1353-1366. ⟨10.4310/MRL.2014.v21.n6.a8⟩. ⟨hal-00759972⟩
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