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

TL;DR

This paper analytically computes two- and three-point correlators of operators dual to folded string solutions in AdS_5 at strong coupling, revealing their dependence on spin and string length, and explores connections to scattering amplitudes.

Contribution

It introduces a method to evaluate correlators of dual operators for folded strings at any spin, including long and short strings, at strong coupling.

Findings

Structure coefficient for long strings is spin-independent at leading order.

For operators with two equal angular momenta, the coefficient scales as 1/log^l(S/√λ).

For short strings, the coefficient is proportional to the string energy E.

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.