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.

11 pages, harvmac. v2: refs added

References in corpus (3)

• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Multi-spin string solutions in AdS_5 x S^5
• Stringing Spins and Spinning Strings

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