We present a unified algebraic Bethe ansatz for open vertex models which are associated with the non-exceptional A 2 n (2) , A 2 n −1 (2) , B n (1) , C n (1) , D n (1) Lie algebras. Using the algebraic Bethe ansatz, we solve these models with the trivial K -matrix and find that our results agree with that obtained by analytical Bethe ansatz. We also solve the B n (1) , C n (1) , D n (1) models with some non-trivial diagonal K -matrices (one free parameter case) by the algebraic Bethe ansatz.

arXiv:hep-th/0611127Journal of Statistical Mechanics Theory and ExperimentJan 25, 20078 citations

A new algebraic Bethe ansatz forgl(2,1) invariant vertex models

Markus P. Pfannmüller, Holger Frahm

The algebraic Bethe ansatz for the integrable vertex model constructed from the four-dimensional representation of the superalgebra gl(2,1) is calculated using a ferromagnetic reference state. This Bethe ansatz was known only for the three-dimensional representation leading to the supersymmetric t-J model. The necessary modification of the nested algebraic Bethe ansatz scheme and generalizations to related models are discussed.

Journal of Physics A Mathematical and GeneralAug 7, 199718 citations