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JHEP, Published (Mi jhep13)  

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

G. Arutyunovabc, D. Medina-Rinconba

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.

Funding Agency Grant Number
Netherlands Organization for Scientific Research VICI 680-47-602
European Research Council 246974
G.A. acknowledges the support by the Netherlands Organization for Scientific Research (NWO) under the VICI grant 680-47-602. The work by G.A. is also a part of the ERC Advanced grant research programme No. 246974, “Supersymmetry: a window to nonperturbative physics” and of the D-ITP consortium, a program of the NWO that is funded by the Dutch Ministry of Education, Culture and Science (OCW). The work of D.M. was supported in part by Compania Colombiana Automotriz S.A. and Fundacion Mazda para el Arte y la Ciencia.


DOI: https://doi.org/10.1007/JHEP10(2014)050


Bibliographic databases:

Received: 16.08.2014
Revised: 15.09.2014
Accepted:15.09.2014
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