Integrable models through representations of the hecke algebra

Nir Sochen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We present new solutions to the Yang-Baxter equation through representations of the Hecke algebra. The generators of the Hecke algebra are considered as Boltzmann weights for face models. The heights live in a graph. These models were conjectured to be integrable by Di Francesco and Zuber. We prove integrability for some of the suggested models by building explicitly the Boltzmann weights. Some relations that the Boltzmann weights satisfy and the consequence on partition functions with various boundary conditions are also discussed.

Original languageEnglish
Pages (from-to)613-640
Number of pages28
JournalNuclear Physics, Section B
Issue number2-3
StatePublished - 19 Aug 1991
Externally publishedYes


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