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 A1 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 A2 case and show how analogous predictions can be made.