Uq(sl3) web models: Locality, phase diagram and geometrical defects
Abstract
We continue investigating the generalisations of geometrical statistical models introduced in [13], in the form of models of webs on the hexagonal lattice having a quantum group symmetry. We focus here on the case of cubic webs, based on the Kuperberg spider, and illustrate its properties by comparisons with the well-known dilute loop model (the case) throughout. A local vertex-model reformulation is exhib