Unitary 4-point correlators from classical geometries
Abstract
We compute correlators of two heavy and two light operators in the strong coupling and large limit of the D1D5 CFT which is dual to weakly coupled AdS gravity. The light operators have dimension two and are scalar descendants of the chiral primaries considered in arXiv:1705.09250, while the heavy operators belong to an ensemble of Ramond-Ramond ground states. We derive a general expression for these correlators when the heavy states in the ensemble are close to the maximally spinning ground state. For a particular family of heavy states we also provide a result valid for any value of the spin. In all cases we find that the correlators depend non-trivially on the CFT moduli and are not determined by the symmetries of the theory, however they have the properties expected for correlators among pure states in a unitary theory, in particular they do not decay at large Lorentzian times.
Cite
@article{arxiv.1710.06820,
title = {Unitary 4-point correlators from classical geometries},
author = {Alessandro Bombini and Andrea Galliani and Stefano Giusto and Emanuele Moscato and Rodolfo Russo},
journal= {arXiv preprint arXiv:1710.06820},
year = {2018}
}
Comments
31 pages; v2: one observation added