English

Yang-Baxter equation for the asymmetric eight-vertex model

Exactly Solvable and Integrable Systems 2009-11-10 v1

Abstract

In this note we study `a la Baxter [1] the possible integrable manifolds of the asymmetric eight-vertex model. As expected they occur when the Boltzmann weights are either symmetric or satisfy the free-fermion condition but our analysis clarify the reason both manifolds need to share a universal invariant. We also show that the free-fermion condition implies three distinct classes of integrable models.

Keywords

Cite

@article{arxiv.nlin/0303036,
  title  = {Yang-Baxter equation for the asymmetric eight-vertex model},
  author = {W. Galleas and M. J. Martins},
  journal= {arXiv preprint arXiv:nlin/0303036},
  year   = {2009}
}

Comments

Latex, 12 pages, 1 figure

R2 v1 2026-07-22T18:10:43.608Z