Institut de Physique Théorique
Direction de la Recherche Fondamentale  -  Saclay
UMR 3681 - INP
encart droite
Encart de droite, peut être utilisé à des fins diverses. Actuellement caché via les CSS.
Jeudi 14 décembre 2017

 / 
 / 
 

Journal Club
Vendredi 20/10/2017, 14h15
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
New Construction of Eigenstates and Separation of Variables for SU(N)
Fedor Levkovich-Maslyuk
ENS - Paris

\noindent ``Integrability meeting ENS/IPhT'' \\ \\ (Based on arXiv:1610.08032) \\ We present a new way to construct eigenstates of integrable XXX quantum spin chains with SU(N) symmetry which bypasses the nesting procedure. The states are built by repeatedly acting on the vacuum with a single operator Bgood(u) evaluated at the Bethe roots. Our proposal serves as a compact alternative to the usual nested algebraic Bethe ansatz. Furthermore, the roots of this operator give the separated variables of the model, explicitly generalizing Sklyanin's approach to the SU (N) case. We present many tests of the conjecture and prove it in several special cases. We focus on rational spin chains with fundamental representation at each site, but expect that our main results are valid more generally. \\ \\ (IPhT organizer: Ivan Kostov)

Contact : Loic BERVAS

Retour en haut