New Integrable Lattice Models From Fuss-Catalan Algebras
classification
✦ hep-th
cond-mat.stat-mechmath.QA
keywords
algebrasfuss-catalanintegrablelatticemodelsalgebrabischcolored
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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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