Local charges in involution and hierarchies in integrable sigma-models

Sylvain Lacroix, Marc Magro, Benoit Vicedo

Integrable $\sigma$-models, such as the principal chiral model, ${\mathbb{Z}}_T$-coset models for $T\in {\mathbb{Z}}_{\ge 2}$ and their various integrable deformations, are examples o…