English

Bethe Ansatze for 19-vertex Models

High Energy Physics - Theory 2010-04-08 v2

Abstract

The nineteen-vertex models of Zamolodchikov-Fateev, Izergin-Korepin and the supersymmetric osp(1|2) with periodic boundary conditions are studied. We find the spectrum of these quantum spin chains using the Coordinate Bethe Ansatz. The approche is a suitable parametrization of their wavefunctions. We also applied the Algebraic Bethe Ansatz in order to obtain the eigenvalues and eigenvectors of the corresponding transfer matrices.

Keywords

Cite

@article{arxiv.hep-th/9807219,
  title  = {Bethe Ansatze for 19-vertex Models},
  author = {A. Lima-Santos},
  journal= {arXiv preprint arXiv:hep-th/9807219},
  year   = {2010}
}

Comments

30 pages, Latex, references added, no signficant changes

R2 v1 2026-07-22T16:11:33.180Z