Spin chains as modules over the affine Temperley-Lieb algebra

Théo Pinet, Yvan Saint-Aubin

The affine Temperley-Lieb algebra $\mathsf{a}{\mathsf{TL}}_N(\beta )$ is an infinite-dimensional algebra parametrized by a number $\beta \in \mathbb{C}$ and an integer $N\in \mat…