# 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…

## 347 Citations

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It is argued that semiclassical string energies yield information on the quantum spectrum of the string in the limit of large angular momenta on the S5, leading to an asymptotic all-loop conjecture for the gauge theory Bethe equations.

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Using information from the marginality conditions of vertex operators for the AdS5×S 5 superstring, we determine the structure of the dependence of the energy of quantum string states on their…

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We study the AdS/CFT relation between an infinite class of 5-d Ypq Sasaki-Einstein metrics and the corresponding quiver theories. The long BPS operators of the field theories are matched to massless…

### Fe b 20 05 Spinning strings in AdS 5 × S 5 : one-loop correction to energy in SL ( 2 ) sector

- Physics
- 2005

We consider a circular string with spin S in AdS 5 wrapped around big circle of S 5 and carrying also momentum J. The corresponding N = 4 SYM operator belongs to the SL(2) sector, i.e. has tr(D S Z…

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We discuss the AdS/CFT duality from the perspective of integrable systems and establish a direct relationship between the dimension of single trace local operators composed of two types of scalar…

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