Affine Algebras, Langlands Duality and Bethe Ansatz

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dc.creatorFrenkel, Edward
dc.date1995-06-05
dc.date1999-09-23
dc.date.accessioned2026-07-07T09:04:52Z
dc.date.available2026-07-07T09:04:52Z
dc.descriptionWe review various aspects of representation theory of affine algebras at the critical level, geometric Langlands correspondence, and Bethe ansatz in the Gaudin models. Geometric Langlands correspondence relates D-modules on the moduli space of G-bundles on a complex curve X and flat G^L-bundles on X. Beilinson and Drinfeld construct it by applying a localization functor to representations of affine algebras of critical level. We show that in genus zero the corresponding D-modules are closely related to the diagonalization problem in the Gaudin model associated to G. This allows us to give a new interpretation of the Bethe ansatz and Sklyanin's separation of variables in the Gaudin model in terms of Langlands correspondence.
dc.description34 pages, Latex
dc.identifierhttps://arxiv.org/abs/q-alg/9506003
dc.identifierhttp://arxiv.org/abs/q-alg/9506003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149533
dc.subjectQuantum Algebra
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleAffine Algebras, Langlands Duality and Bethe Ansatz
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