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arXiv · 1911.07859

Strong integrability of $λ$-deformed models

George Georgiou·Konstantinos Sfetsos·Konstantinos Siampos
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Abstract

We study the notion of strong integrability for classically integrable $λ$-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.

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George Georgiou, Konstantinos Sfetsos, Konstantinos Siampos. 2020-01-14. Strong integrability of $λ$-deformed models. https://doi.org/10.1016/j.nuclphysb.2020.114923

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