4.4 Article

Two and three-point correlators of operators dual to folded string solutions at strong coupling

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP02(2011)046

Keywords

AdS-CFT Correspondence; Gauge-gravity correspondence; Supersymmetry and Duality

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A particular analytic continuation of classical string solutions having a single AdS5 spin is considered. These solutions describe strings tunnelling from the boundary to the boundary of AdS5. We use the Legendre transform of the dimensionally regularised action of these solutions to evaluate the 2-point functions of the dual operators, holographically. Subsequently, we evaluate the structure coefficient of correlators involving two operators with spin S and a BPS state, at strong coupling. Our expressions are valid for any value of the AdS spin S/root lambda and can be applied both at the case of long and short strings. For long strings and at leading order, the structure coefficient is independent of the spin S for twist J operators, while it scales as 1/log(l) S/root lambda for the case of operators with two equal angular momenta in S-5. For short strings, the structure coefficient is proportional to the energy E of the string. Finally, we comment on the possibility of relating the strong coupling 3-point function coefficient of three large spin twist 2 operators to the action of the 6-gluon scattering amplitude.

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