Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5
High Energy Physics - Theory
2009-11-10 v2
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0402092,
title = {Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5},
author = {Johan Engquist},
journal= {arXiv preprint arXiv:hep-th/0402092},
year = {2009}
}
Comments
21 pages, harvmac, minor changes, references added