Abstract
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 hbox {AdS}_3 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.
Highlights
We use AdS/CFT duality as a tool to study a simple set of heavy operators OH in D1D5 CFT which are the Ramond–Ramond (RR) ground states
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
It is possible to test the dictionary between the RR ground states on the CFT side and the corresponding bulk description in terms of smooth geometries [9,10,11,12,13]: the basic idea is to exploit the AdS/CFT map between protected CFT operators OL and the supergravity modes in the bulk and compare the 3-point CFT correlators OH OH OL with the holographic results obtained from the dual microstate geometries
Summary
We use AdS/CFT duality as a tool to study a simple set of heavy operators OH in D1D5 CFT which are the Ramond–Ramond (RR) ground states This ensemble is not dual to a macroscopic black hole at the level of two derivative gravity, but it provides a good testing ground as we know in detail the gravitational solutions dual to these states [7,8,9]. The supergravity operators are indicated with a subscript L because they are “light”, meaning that their conformal dimension is fixed in the large central charge limit c = 6N → ∞ This class of 3-point correlators is protected [14] and so it is possible to match directly the results obtained in the weakly curved gravitational regime and those derived at a different point in the D1D5 SCFT moduli space, where the boundary theory can be described in terms of a free orbifold.
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