Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série IPHT-PHM
Domaines math-ph
Date Lundi 17 Septembre 2018
Heure 11:00
Institut IPHT
Salle Salle Claude Itzykson, Bŕt. 774
Nom de l'orateur Jules Lamers
Prenom de l'orateur
Addresse email de l'orateur
Institution de l'orateur Stockholm
Titre An update on the q-deformed Haldane--Shastry model
Résumé Earlier this year at IPhT, I presented a new and simpler expression for Uglov's Hamiltonian of the $q$-deformed Haldane--Shastry model, a long-range spin chain enjoying quantum-affine symmetries already at finite system size. After reviewing the model I will present its (conjectural) exact (highest-weight) eigenvectors, whose wave functions are essentially a $q$-Vandermonde factor squared,times a Macdonald polynomial (with $t=q^2$), -decorated- by some Hecke generators. This is ongoing work together with Vincent Pasquier and Didina Serban.
Numéro de preprint arXiv
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