Spinning strings in AdS(5) x S**5: New integrable system relations

@article{Arutyunov2003SpinningSI,
  title={Spinning strings in AdS(5) x S**5: New integrable system relations},
  author={Gleb E. Arutyunov and Jorge G Russo and Arkady A. Tseytlin},
  journal={Physical Review D},
  year={2003},
  volume={69},
  pages={086009}
}
A general class of rotating closed string solutions in AdS5 × S 5 is shown to be described by a Neumann-Rosochatius one-dimensional integrable system. The latter represents an oscillator on a sphere or a hyperboloid with an additional “centrifugal” potential. We expect that the reduction of the AdS5 × S 5 sigma model to the Neumann-Rosochatius system should have further generalizations and should be useful for uncovering new relations between integrable structures on two sides of the AdS/CFT… 
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