Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors

Details Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors

2003-06-16

arxiv.org/abs/hep-th/0306143v2

Phys.Lett.B570:96-104,2003

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, harvmac. v2: refs added

Scientific paper

10.1016/j.physletb.2003.07.022

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.

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