New Integrable Lattice Models From Fuss-Catalan Algebras
arXiv:hep-th/9807074 · doi:10.1016/S0550-3213(98)00603-8
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.
30 pages, 23 eps figures, uses harvmac.tex, epsf.tex
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Cited by in corpus (7)
- Geometrically constrained statistical systems on regular and random lattices: From folding to meanders
- The Bubble Algebra: Structure of a Two-Colour Temperley-Lieb Algebra
- T-systems, networks and dimers
- Different facets of the raise and peel model
- On the algebraic approach to solvable lattice models
- Integrable models from singly generated planar algebras
- Multicolored Temperley-Lieb lattice models. The ground state