Multi-leg integrable ladder models

Daniel Arnaudon (1) , Ara Sedrakyan (1) , Tigran Sedrakyan (1)

1 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique

We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The integrability of the model is based on a set of coupled Yang--Baxter equations. This construction yields P-leg integrable ladder Hamiltonians. We analyse the corresponding quantum group symmetry and present Algebraic Bethe Ansatz (ABA) solution.

Mots clés: Chaînes de spins; Modèles intégrables

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

Daniel Arnaudon, Ara Sedrakyan, Tigran Sedrakyan. Multi-leg integrable ladder models. Nuclear Physics B, 2004, B676, pp.615. ⟨hal-00003183⟩