Integrability of the eta-deformed Neumann-Rosochatius model

Abstract

An integrable deformation of the well-known Neumann-Rosochatius system is studied by considering generalised bosonic spinning solutions on the eta-deformed AdS_5 x S^5 background. For this integrable model we construct a 4x4 Lax representation and a set of integrals of motion that ensures its Liouville integrability. These integrals of motion correspond to the deformed analogues of the Neumann-Rosochatius integrals and generalise the previously found integrals for the eta-deformed Neumann and (AdS_5 x S^5)_eta geodesic systems. Finally, we briefly comment on consistent truncations of this model.

25 pages, 1 figure; v2: published version

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Cited by in corpus (6)

• Abelian Yang-Baxter Deformations and TsT transformations
• Integrable flows between exact CFTs
• $I$ in generalized supergravity
• General phase spaces: from discrete variables to rotor and continuum limits
• Spinning strings in the $\eta$-deformed Neumann-Rosochatius system
• Superintegrable deformations of oscillator and Coulomb systems