Spinning strings in the eta-deformed Neumann-Rosochatius system
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 so...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2017 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/18276 |
| Online Access: | https://hdl.handle.net/20.500.14352/18276 |
| Access Level: | Open access |
| Keyword: | 53 Física-Modelos matemáticos |
| Summary: | 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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