On integrable deformations of the Cherednik model
Ctirad Klimcik
TL;DR
This paper formulates the Cherednik model and its deformations within the E-model framework, confirming integrability and providing new results for the Poisson-Lie-WZ deformed case.
Contribution
It offers an E-model based formulation of the Cherednik model and its deformations, solving integrability conditions and presenting new findings for the Poisson-Lie-WZ deformation.
Findings
Confirmed integrability of the Cherednik model and its deformations.
Reproduced known results for non-deformed and Poisson-Lie deformed models.
Derived new results for the Poisson-Lie-WZ deformed Cherednik model.
Abstract
We provide the E-model formulation of the non-deformed Cherednik model as well as of its Poisson-Lie and Poisson-Lie-WZ deformed version. In all three cases we solve the sufficient condition of integrability by using the E-model formalism. We thus recover in an alternative way the known results for the non-deformed and the Poisson-Lie deformed models, while for the Poisson-Lie-WZ deformed one our results are new.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Algebra and Geometry · Advanced Differential Geometry Research