We demonstrate the existence of an infinite number of local commuting charges for classical solutions of the string sigma model on AdS 5 × S 5 associated with a certain circular three-spin solution spinning with large angular momenta in three orthogonal directions on the five-sphere. Using the AdS/CFT correspondence we find agreement to one-loop with the tower of conserved higher charges in planar Script N = 4 super Yang-Mills theory associated with the dual composite single-trace operator in the highest weight representation (J 1,J 2,J 2) of SO(6). The agreement can be explained by the presence of integrability on both sides of the duality.
Journal of High Energy Physics
- Pub Date:
- April 2004
- Sigma Models AdS-CFT and dS-CFT Correspondence Bethe Ansatz;
- High Energy Physics - Theory
- 21 pages, harvmac, minor changes, references added