English

New Integrable Lattice Models From Fuss-Catalan Algebras

High Energy Physics - Theory 2009-10-31 v1 Statistical Mechanics Quantum Algebra

Abstract

We construct new trigonometric solutions of the Yang-Baxter equation, using the Fuss-Catalan algebras, a set of multi-colored versions of the Temperley-Lieb algebra, recently introduced by Bisch and Jones. These lead to new two-dimensional integrable lattice models, describing dense gases of colored loops.

Keywords

Cite

@article{arxiv.hep-th/9807074,
  title  = {New Integrable Lattice Models From Fuss-Catalan Algebras},
  author = {P. Di Francesco},
  journal= {arXiv preprint arXiv:hep-th/9807074},
  year   = {2009}
}

Comments

30 pages, 23 eps figures, uses harvmac.tex, epsf.tex