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

TL;DR

This paper constructs a rotating string solution in AdS_5×S^5 with two angular momenta, and demonstrates precise agreement with gauge theory predictions, providing a strong test of the AdS/CFT duality beyond supersymmetric sectors.

Contribution

It presents an explicit minimal energy string solution with two angular momenta and confirms its correspondence with gauge theory anomalous dimensions, extending AdS/CFT tests to non-supersymmetric sectors.

Findings

Exact match between string energy and gauge theory anomalous dimensions for equal spins.

Agreement between string and gauge theory results for unequal spins.

Validation of AdS/CFT duality in non-supersymmetric, non-BPS 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.