Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series IPHT-PHM
Subjects math-ph
Date Monday 17 September 2018
Time 11:00
Institute IPHT
Seminar Room Salle Claude Itzykson, Bŕt. 774
Speaker's Last Name Jules Lamers
Speaker's First Name
Speaker's Email Address
Speaker's Institution Stockholm
Title An update on the q-deformed Haldane--Shastry model
Abstract 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.
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