Statut |
Confirmé |
Série |
SEM-DARBOUX |
Domaines |
hep-th |
Date |
Jeudi 28 Novembre 2024 |
Heure |
11:00 |
Institut |
LPTHE |
Salle |
bibliothèque du LPTHE, tour 13-14, 4eme étage |
Nom de l'orateur |
Hernandez |
Prenom de l'orateur |
David |
Addresse email de l'orateur |
david [dot] hernandez [at] imj-prg [dot] fr |
Institution de l'orateur |
IMJ-PRG |
Titre |
Folded quantum integrable models, deformed W-algebras and representations of quantized Coulomb branches |
Résumé |
Deformed W-algebras are two parameter algebras associated to a simple Lie algebra
g, obtained from fields commuting with screening operators. We discuss some
remarkable specializations of deformed W-algebras.
(1) Classical limit : We propose a novel quantum integrable model for every non-
simply laced simple Lie algebra g (joint work with Frenkel and Reshetikhin). 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.
(2) Mixed limit : we use this limit to state a general conjecture on the
parametrization of simple modules of non simply-laced shifted quantum affine
algebras (closely related to quantized Coulomb branches). We have several
evidences, including a general result for simple finite-dimensional
representations.
|
Numéro de preprint arXiv |
|
Commentaires |
|
Fichiers attachés |
|