English

The algebraic Bethe ansatz for open vertex models

High Energy Physics - Theory 2011-02-16 v2 Statistical Mechanics Mathematical Physics math.MP

Abstract

We present a unified algebraic Bethe ansatz for open vertex models which are associated with the non-exceptional A2n(2),A2n1(2),Bn(1),Cn(1),Dn(1)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 Bn(1),Cn(1),Dn(1)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.

Keywords

Cite

@article{arxiv.hep-th/0611127,
  title  = {The algebraic Bethe ansatz for open vertex models},
  author = {Guang-Liang Li and Kang-Jie Shi},
  journal= {arXiv preprint arXiv:hep-th/0611127},
  year   = {2011}
}

Comments

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

R2 v1 2026-07-22T15:39:16.471Z