Integrability of the η-deformed Neumann–Rosochatius model. (9th December 2016)

• Record Type: Journal Article
• Authors: Arutyunov, Gleb; Heinze, Martin; Medina-Rincon, Daniel
• Is Part Of: Journal of physics. Volume 50:Number 3(2017)
• Publication Date: 2016-12-09
• Subjects: AdS5 × S5 -- integrable deformations -- geodesics; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/50/3/035401
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: An integrable deformation of the well-known Neumann–Rosochatius system is studied by considering generalised bosonic spinning solutions on the η -deformed A d S 5 × S 5 background. For this integrable model we construct a 4 × 4 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 ( A d S 5 × S 5 ) η geodesic systems. Finally, we briefly comment on consistent truncations of this model.