Web models as a generalization of O(N) loop models
In this talk, I will present results obtained in physics on
so called web models. Web models are two dimensional lattice models
defined from some graphs called webs that arose in representation
theory. The $A_1$ case recovers the well-known $O(N)$ loop model on the
hexagonal lattice. After reviewing some of its known and conjectured
properties, I will mainly focus on the $A_2$ case and show how analogous
predictions can be made.