Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
Abstract
We find the minimal energy solution describing a folded closed string located at the center of AdS_5 and rotating simultaneously in two planes in S^5 with two arbitrary SO(6) angular momenta J_1 and J_2. In the case when J_1=J_2=J' we observe the precise agreement between the leading coefficient in the large J' expansion of the energy of this solution and the minimal eigen-value of the 1-loop anomalous dimension matrix of the corresponding [J',0,J'] SYM operators obtained by Beisert, Minahan, Staudacher and Zarembo in hep-th/0306139. We find also perfect agreement between string and SYM results in cases of states with unequal spins J_1 and J_2 dual to [J_2,J_1-J_2,J_2] operators. This represents a remarkable quantitative test of the AdS/CFT duality in a non-supersymmetric (and non-near-BPS) sector.
Keywords
Cite
@article{arxiv.hep-th/0306143,
title = {Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors},
author = {S. Frolov and A. A. Tseytlin},
journal= {arXiv preprint arXiv:hep-th/0306143},
year = {2009}
}
Comments
11 pages, harvmac. v2: refs added