Separated variables and wave functions for rational GL(N) spin chains
Dmytro Volin
Nordita Stockholm and Uppsal U.
Thu, Apr. 25th 2019, 11:30
Salle Claude Itzykson, Bât. 774, Orme des Merisiers

\noindent ``Integrability meeting ENS/IPhT'' \\ \\ 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. \\ \\ (IPhT organizers: Ivan Kostov and Didina Serban)

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