arXiv:hep-th/0611127 · Journal of Statistical Mechanics Theory and Experiment
The algebraic Bethe ansatz for open vertex models
Guang-Liang Li, Kang-Jie Shi
Abstract
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.