Abstract
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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
