Title: Interacting anyons and integrable lattice models

Abstract:
The talk will discuss one-dimensional chains of su(2)_k anyons, i.e.
with degrees of freedom based on the fusion rules of su(2)_k, and
subject to two- and three-body interactions that generalize ordinary
spin chains. The anyon chains have rich phase diagrams, even richer
than in the ordinary spin case, with novel phases and critical
behavior. The talk will focus on special integrable critical points on
the phase diagram that can be mapped to various classical integrable
RSOS height models at criticality.