English

Algebraic Bethe ansatz for 19-vertex models with upper triangular K-matrices

Mathematical Physics 2014-11-07 v2 math.MP Exactly Solvable and Integrable Systems

Abstract

By means of an algebraic Bethe ansatz approach we study the Zamolodchikov-Fateev and Izergin-Korepin vertex models with non-diagonal boundaries, characterized by reflection matrices with an upper triangular form. Generalized Bethe vectors are used to diagonalize the associated transfer matrix. The eigenvalues as well as the Bethe equations are presented.

Keywords

Cite

@article{arxiv.1406.5757,
  title  = {Algebraic Bethe ansatz for 19-vertex models with upper triangular K-matrices},
  author = {R. A. Pimenta and A. Lima-Santos},
  journal= {arXiv preprint arXiv:1406.5757},
  year   = {2014}
}

Comments

30 pages; v2: typos corrected, published

R2 v1 2026-06-22T04:44:23.307Z