New Integrable Lattice Models From Fuss-Catalan Algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/S0550-3213(98)00603-8

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.

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