New results in the XXZ open spin chain

Pascal Baseilhac (1)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

In this review, I describe a recent approach based on the representation theory of the $q-$Onsager algebra which is used to derive exact results for the XXZ open spin chain. The complete spectrum and eigenstates are obtained as rational functions of a single variable which discrete values correspond to the roots of a certain characteristic polynomial. Comments and open problems are also presented.

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Algèbres quantiques [math.QA]; Physique mathématique [math-ph]

Pascal Baseilhac. New results in the XXZ open spin chain. Recent Advances in Quantum Integrable Systems, Sep 2007, Annecy, France. ⟨hal-00193557⟩