| dc.description.abstract | In contrast to the more standard approach of furthering the program of black hole
microstates using holography, this thesis instead uses developments in black hole microstates
to learn about questions of holography.
We derive the connected tree-level part of 4-point holographic correlators in AdS3
S3 M4 (where M4 is T4 or K3) involving two multi-trace and two single-trace operators.
These connected correlators are obtained by studying a heavy-heavy-light-light
(HHLL) correlation function in the formal limit where the heavy operators become
light (LLLL). These results provide a window into higher-point holographic correlators
of single-particle operators. We nd that the correlators involving multi-trace operators
are compactly written in terms of Bloch-Wigner-Ramakrishnan functions. We also
extract anomalous dimensions and 3-point couplings for the non-BPS minimal twist
double-trace operators at order 1=c and nd some positive anomalous dimensions at
spin zero and two in the K3 case.
This is followed by a study of the Regge limit of various HHLL and LLLL AdS3
holographic 4-point correlators, in the tree-level supergravity approximation, providing
explicit checks of the relation between bulk eikonal phases and anomalous dimensions
of certain double-trace operators. The pure heavy operators considered, dual to asymptotically
AdS3 S3 regular geometries, have conformal dimensions proportional to the
central charge. Deviation from AdS3 S3 is parametrised by a scale , related to
the heavy operator's conformal dimension. We work perturbatively in and derive
all-order relations between the bulk phase shift and the Regge limit OPE data of a
class of heavy-light multi-trace operators exchanged in the cross-channel. Speci cally,
we show that the minimal solution to the crossing equations relevant for the conical
defect geometries is di erent to that for the microstate geometries dual to pure states. | en_US |
