On Generalized $Q$-systems

Zoltán Bajnok , Etienne Granet (1, 2) , Jesper Lykke Jacobsen (1, 3) , Rafael I. Nepomechie

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 LPENS - Laboratoire de physique de l'ENS - ENS Paris
3 Champs Aléatoires et Systèmes hors d'Équilibre

We formulate Q-systems for the closed XXZ, open XXX and open quantum- group-invariant XXZ quantum spin chains. Polynomial solutions of these Q-systems can be found efficiently, which in turn lead directly to the admissible solutions of the corresponding Bethe ansatz equations.

Mots clés: Bethe Ansatz; Lattice Integrable Models; spin: chain; Bethe ansatz

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]; Physique Générale [physics.gen-ph]

Zoltán Bajnok, Etienne Granet, Jesper Lykke Jacobsen, Rafael I. Nepomechie. On Generalized $Q$-systems. Journal of High Energy Physics, 2020, 03, pp.177. ⟨10.1007/JHEP03(2020)177⟩. ⟨hal-02383398⟩