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Spinning strings in AdS5 times S5: new integrable system relations

Arutyunov, G., Russo, J., & Tseytlin, A. A. (2004). Spinning strings in AdS5 times S5: new integrable system relations. Physical Review D, 69(8): 086009.

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Genre: Journal Article

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59638.pdf (Preprint), 314KB
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Creators:
Arutyunov, Gleb1, Author
Russo, J., Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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Abstract: A general class of rotating closed string solutions in AdS5 x S5 is shown to be described by 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 x S5 sigma model to the Neumann-Rosochatius system should have further generalizations and should be useful for uncovering new relations between integrable structures on the two sides of the AdS/CFT duality. We find, in particular, new circular rotating string solutions with two AdS5 and three S5 spins. As in other recently discussed examples, the leading large-spin correction to the classical energy turns out to be proportional to the square of the string tension or the 't Hooft coupling \lambda, suggesting that it can be matched onto the one-loop anomalous dimensions of the corresponding long'' operators on the SYM side of the AdS/CFT duality.

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Language(s): eng - English
Dates: 2004-04-15
Publication Status: Published in print
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Identifiers: eDoc: 59638
Degree: -

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### Source 1

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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 69 (8) Sequence Number: 086009 Start / End Page: - Identifier: -