Strong integrability of $\lambda$-deformed models

Abstract

We study the notion of strong integrability for classically integrable $\lambda$-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 $r/s$-matrix algebra. As a consequence the system in question are integrable in the strong sense. Furthermore, we show that the derived Maillet $r/s$-matrix algebras can be realized in terms of twist functions, at the poles of which we recover the underlying symmetry algebras.

arXiv commentv1:1+22 pages, Latex, v2: NPB version

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Cited by in corpus (11)

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• Integrable deformations of coupled sigma-models
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