The algebraic Bethe ansatz for open vertex models

Details The algebraic Bethe ansatz for open vertex models The algebraic Bethe ansatz for open vertex models

2006-11-11

arxiv.org/abs/hep-th/0611127v2

J.Stat.Mech.0701:P01018,2007

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 35 pages, new content and references are added, minor revisions are made

Scientific paper

10.1088/1742-5468/2007/01/P01018

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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