Didina Serban (CEA Saclay): The q-deformed Haldane-Shastry model
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Europe/Budapest
Tanacsterem
Tanacsterem
Description
The talk will present the solution of a quantum deformation, XXZ-like, of the isotropic long-range model named after Haldane and Shastry. While its algebraic structure, including the symmetry, was known for a long time, the explicit expression for the highest weight wave functions in terms of Macdonald polynomials was derived only recently by Lamers, Pasquier and Serban,arXiv:2004.13210. The central ingredient of the solution is the concept of double Hecke algebra and its relation to a more general model, the Macdonald-Ruijsenaars spin model. This type of models is a rare example of long-range spin chains whose integrablealgebraic structure is explicitly known and as such they are important to study both from the mathematical and physical point of view.
