Strong integrability of $\lambda$-deformed models
High Energy Physics - Theory
2020-01-22 v2 Mathematical Physics
math.MP
Abstract
We study the notion of strong integrability for classically integrable -deformed CFTs and coset CFTs. To achieve this goal we employ the Poisson brackets of the spatial Lax matrix which we prove that it assumes the Maillet -matrix algebra. As a consequence the system in question are integrable in the strong sense. Furthermore, we show that the derived Maillet -matrix algebras can be realized in terms of twist functions, at the poles of which we recover the underlying symmetry algebras.
Cite
@article{arxiv.1911.07859,
title = {Strong integrability of $\lambda$-deformed models},
author = {George Georgiou and Konstantinos Sfetsos and Konstantinos Siampos},
journal= {arXiv preprint arXiv:1911.07859},
year = {2020}
}
Comments
v1:1+22 pages, Latex, v2: NPB version