Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary Auteur(s): Crampé N. (Article) Publié: Symmetry, Integrability And Geometry: Methods And Applications, vol. 13 p.094 (2017) Texte intégral en Openaccess : Ref HAL: hal-01664972_v1 Ref Arxiv: 1710.08490 DOI: 10.3842/SIGMA.2017.094 WoS: 000418099100001 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 4 Citations Résumé: We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe ansatz. The diagonal and triangular cases have been recovered in this general framework. We show that the model for odd or even lengths has two different behaviors. The corresponding Bethe equations are computed for all the cases. For the chain with even length, inhomogeneous Bethe equations are necessary. The higher spin Gaudin models with generic boundary is also treated. Commentaires: Réf Journal: SIGMA 13 (2017), 094, 13 pages |