The algebraic Bethe ansatz for open vertex models

Abstract

We present a unified algebraic Bethe ansatz for open vertex models which are associated with the non-exceptional A(2)2n,A(2)2n-1,B(1)n,C(1)n,D(1)n Lie algebras. By the method, 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(1)n,C(1)n,D(1)n models with some non-trivial diagonal K-matrices (one free parameter case) by the algebraic Bethe ansatz.

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