Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-11-02
Phys.Rev.D69:086009,2004
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 33 pages; v2: few minor misprints corrected
Scientific paper
10.1103/PhysRevD.69.086009
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.
Arutyunov Gleb
Russo J. J.
Tseytlin Arkady A.
No associations
LandOfFree
Spinning strings in AdS_5 x S^5: new integrable system relations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spinning strings in AdS_5 x S^5: new integrable system relations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spinning strings in AdS_5 x S^5: new integrable system relations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-674977