Integrability of the η-deformed Neumann-Rosochatius model
Authors: Gleb Arutyunov, Martin Heinze, Daniel Medina-Rincon
Preprint Number: UUITP-13/16
An integrable deformation of the well-known Neumann-Rosochatius system is studied by considering generalised bosonic spinning solutions on the η-deformed AdS5 x S5 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 η-deformed Neumann and AdS5 x S5η geodesic systems. Finally, we briefly comment on consistent truncations of this model.