8 janvier 2024 à 22 mars 2024
Institut Henri Poincaré
Fuseau horaire Europe/Paris
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Folded quantum integrable models and deformed W-algebras

30 janv. 2024, 11:00
1h 30m
Institut Henri Poincaré

Institut Henri Poincaré

11, Rue Pierre et Marie Curie 75005 Paris

Orateur

David Hernandez (Université Paris Cité)

Description

(joint work with E. Frenkel and N. Reshetikhin)

We propose a novel quantum integrable model for every non-simply laced simple Lie algebra g. Its spectra correspond to solutions of the Bethe Ansatz equations obtained by folding the Bethe Ansatz equations associated to the simply-laced Lie algebra g′ (corresponding to g). Our construction is motivated by the analysis of the second classical limit of the deformed W-algebra of g. We conjecture, and verify in a number of cases, that the spaces of states of the folded integrable model can be identified with finite-dimensional representations of the Langlands dual (twisted) quantum affine algebra.

The seminar will also be accessible online: https://www.ihp.fr/en/live and/or https://univ-cotedazur.zoom.us/j/3777115746?omn=83887855821

Recording will be available later on: https://www.carmin.tv/en/

Documents de présentation

Aucun document.