Publication: Spinning strings in the eta-deformed Neumann-Rosochatius system
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2017-10-16
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Amer Physical Soc
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Abstract
The sigma model of closed strings spinning in the η deformation of AdS_(5) × S^(5) leads to an integrable deformation of the one-dimensional Neumann-Rosochatius mechanical system. In this article we construct general solutions to this system that can be written in terms of elliptic functions. The solutions correspond to closed strings with nonconstant radii rotating with two different angular momenta in an η-deformed three-sphere. We analyze the reduction of the elliptic solutions for some limiting values of the deformation parameter. For the case of solutions with constant radii we find the dependence of the classical energy of the string on the angular momenta as an expansion in the ’t Hooft coupling.
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© 2017 American Physical Society. The work of R. H. is supported by Grant No. FPA2014- 54154-P and by BSCH-UCM through Grant No. GR3/14- A 910770. J. M. N. wishes to thank D. Medina-Rincón for discussions. J. M. N. also thanks the Institut de Physique Théorique at CEA Saclay for hospitality and financial support during part of this work. The research leading to these results has received funding from the European Community’s Seventh Framework Programme FP7/2007- 2013 under Grant Agreement No. 317089 (GATIS) and by CT45/15 grant from the Universidad Complutense of Madrid.