An update on the q-deformed Haldane--Shastry model
Jules Lamers
Stockholm
Lundi 17/09/2018, 11h00-12h00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers

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.

Contact : Vincent PASQUIER

 

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