G. Arutyunov, D. Medina-Rincon, “Deformed Neumann model from spinning strings on <nobr>$\mathrm{(AdS_5\times S^5)}

This article is cited in 28 papers

Deformed Neumann model from spinning strings on $\mathrm{(AdS_5\times S^5)}_\eta$

G. Arutyunov^abc, D. Medina-Rincon^ba

^a Spinoza Institute, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands
^b Institute for Theoretical Physics, Utrecht University, The Netherlands
^c Steklov Mathematical Institute, Moscow, Russia

Abstract: We show that bosonic spinning strings on the $\eta$-deformed $\mathrm{(AdS_5\times S^5)}$ background are naturally described as periodic solutions of a novel finite-dimensional integrable system which can be viewed as a deformation of the celebrated Neumann model. For this deformed model we find the Lax representation and the analogue of the Uhlenbeck integrals.

Received: 16.08.2014
Revised: 15.09.2014
Accepted: 15.09.2014

Language: English

DOI: 10.1007/JHEP10(2014)050