New integrable lattice models from Fuss-Catalan algebras

Research output: Contribution to journalArticlepeer-review


We construct new hyperbolic 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.

Original languageEnglish (US)
Pages (from-to)609-634
Number of pages26
JournalNuclear Physics B
Issue number3
StatePublished - Nov 9 1998
Externally publishedYes


  • Integrable models
  • Loop models
  • Yang-Baxter equation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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