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Statut Confirmé
Série STRINT
Domaines hep-th
Date Jeudi 25 Avril 2019
Heure 11:30
Institut IPHT
Salle Salle Itzyckson
Nom de l'orateur Volin
Prenom de l'orateur Dmytro
Addresse email de l'orateur
Institution de l'orateur Nordita Stockholm & Uppsala U.
Titre Separated variables and wave functions for rational GL(N) spin chains
Résumé We present a basis in which wave functions of integrable XXX spin chain factorise into a product of Slater determinants of Baxter Q-functions. We furthermore show that this basis is formed by eigenvectors of the B[good]- operator and it is naturally labelled by Gelfand-Tsetlin patterns. The discussion is valid for spin chains in any rectangular representation and arbitrary rank of the GL(N) symmetry group. For symmetric powers of the defining representation, one also observes a corollary that B[good]-operator acting on a suitably chosen vacuum constructs the eigenstates of the Bethe algebra.
Numéro de preprint arXiv
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