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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

Published Jan 25, 2007• 8 citations
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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.

DOI
10.1088/1742-5468/2007/01/p01018

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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.