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Spinning strings in AdS₅ x S⁵: new integrable system relations
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Spinning strings in AdS₅ x S⁵: new integrable system relations
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A general class of rotating closed string solutions in AdS_5 x 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 AdS_5 x 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 the two sides of the AdS/CFT duality. We find, in particular, new circular rotating string solutions with two AdS_5 and three S^5 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.
Forward citations
Cited by 2 Pith papers
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On quantum corrections to semiclassical strings on $\mathrm{AdS}_5\times S^5/\mathbb{Z}_{L}$ orbifold backgrounds
On an orbifold AdS5×S5/ZL background, one-loop string energies for three semiclassical solutions match finite-size twisted Bethe-ansatz and Landau-Lifshitz predictions, with novel stable fractional-winding sectors.
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An Introduction to String Newton-Cartan Holography and Integrability
String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.
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