Higher conserved charges and integrability for spinning strings in AdS5 x S5 -: art. no. 002

We demonstrate the existence of an infinite number of local commuting charges for classical solutions of the string sigma model on AdS(5) X 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 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.