Rudiments of Holography

Abstract

An elementary introduction to Maldacena's AdS/CFT correspondence is given, with some emphasis in the Fefferman-Graham construction. This is based on lectures given by one of us (E.A.) at the Universidad Autonoma de Madrid.

Families of Conformally Covariant Differential Operators, Q-Curvature and Holography

“…Again, the sign conventions differ: R is opposite to ours, but Ric and τ coincide. For a review see also [9]. That result is proved in full generality in [122].…”

THE DIRICHLET OBSTRUCTION IN AdS/CFT

“…also the reviews [1], [2], [12]) is the decoding of the hologram . In the minimal gravitational setting this amounts to recover the metric in the bulk space from the metric at the boundary (which is what mathematicians call a Dirichlet problem).…”

Codimension-two holography

“…A AdS (p,q) and its horospheres Let us recall some elementary facts on horospheric coordinates ( [3]). For arbitrary ± signs, denoted by ǫ µ = ±1, the metric induced on the surface…”