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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 602-646 |
| Number of pages | 45 |
| Journal | Nuclear Physics, Section B |
| Volume | 338 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 16 1990 |
| Externally published | Yes |
ASJC Scopus subject areas
- Nuclear and High Energy Physics