Higher conserved charges and integrability for spinning strings in AdS _{5} × S ^{5}
Abstract
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 threespin solution spinning with large angular momenta in three orthogonal directions on the fivesphere. Using the AdS/CFT correspondence we find agreement to oneloop with the tower of conserved higher charges in planar Script N = 4 super YangMills theory associated with the dual composite singletrace 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2004
 DOI:
 10.1088/11266708/2004/04/002
 arXiv:
 arXiv:hepth/0402092
 Bibcode:
 2004JHEP...04..002E
 Keywords:

 Sigma Models AdSCFT and dSCFT Correspondence Bethe Ansatz;
 High Energy Physics  Theory
 EPrint:
 21 pages, harvmac, minor changes, references added