AdS/Ricci-flat correspondence
Abstract
We present a comprehensive analysis of the AdS/Ricci-flat correspondence, a map between a class of asymptotically locally AdS spacetimes and a class of Ricci-flat spacetimes. We provide a detailed derivation of the map, discuss a number of extensions and apply it to a number of important examples, such as AdS on a torus, AdS black branes and fluids/gravity metrics. In particular, the correspondence links the hydrodynamic regime of asymptotically flat black -branes or the Rindler fluid with that of AdS. It implies that this class of Ricci-flat spacetimes inherits from AdS a generalized conformal symmetry and has a holographic structure. We initiate the discussion of holography by analyzing how the map acts on boundary conditions and holographic 2-point functions.
Keywords
Cite
@article{arxiv.1312.7874,
title = {AdS/Ricci-flat correspondence},
author = {Marco M. Caldarelli and Joan Camps and Blaise Goutéraux and Kostas Skenderis},
journal= {arXiv preprint arXiv:1312.7874},
year = {2014}
}
Comments
v3: Minor edits, references added, matches published version