SU(N) lattice integrable models associated with graphs

P. Di Francesco, J. B. Zuber

Research output: Contribution to journalArticlepeer-review


We explore the construction of RSOS critical integrable models attached to a graph, trying to extend Pasquier's construction from SU(2) to SU(N), with main emphasis on the case of SU(3): the heights are the nodes of a graph, which encodes the allowed configurations. A class of graphs that are natural candidates for this construction is defined. In the case N = 3, they all seem to be related to finite subgroups of SU(3). For any N, they are associated with arbitrary representations of the SU(N) fusion algebra over matrices of non-negative integers. It is argued that these graphs should support a representation of the Hecke algebra.

Original languageEnglish (US)
Pages (from-to)602-646
Number of pages45
JournalNuclear Physics, Section B
Issue number3
StatePublished - Jul 16 1990
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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