https://doi.org/10.1140/epjc/s10052-017-5492-3
Regular Article - Theoretical Physics
Unitary 4-point correlators from classical geometries
1
Dipartimento di Fisica ed Astronomia “Galileo Galilei”, Università di Padova, Via Marzolo 8, 35131, Padua, Italy
2
I.N.F.N. Sezione di Padova, Via Marzolo 8, 35131, Padua, Italy
3
Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London, E1 4NS, UK
* e-mail: alessandro.bombini@pd.infn.it
Received:
31
October
2017
Accepted:
19
December
2017
Published online:
4
January
2018
We compute correlators of two heavy and two light operators in the strong coupling and large c limit of the D1D5 CFT which is dual to weakly coupled 
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.
© The Author(s), 2018
