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

Abstract

A particular analytic continuation of classical string solutions having a single AdS_5 spin is considered. These solutions describe strings tunnelling from the boundary to the boundary of AdS_5. 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/\sqrt{\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{\frac{S}{\sqrt{\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.