Some aspects of the de Sitter/CFT correspondence
By D. Klemm. 2001
156 citations recorded by the source corpus.
Abstract We discuss several aspects of the proposed correspondence between quantum gravity on de Sitter spaces and Euclidean conformal field theories. The central charge appearing in the asymptotic symmetry algebra of three-dimensional de Sitter space is derived both from the conformal anomaly and the transformation law of the CFT stress tensor when going from dS3 in planar coordinates to dS3 with cosmological horizon. The two-point correlator for CFT operators coupling to bulk scalars is obtained in static coordinates, corresponding to a CFT on a cylinder. Correlation functions are also computed for CFTs on two-dimensional hyperbolic space. We furthermore determine the energy–momentum tensor and the Casimir energy of the conformal field theory dual to the Schwarzschild–de Sitter solution in five dimensions. Requiring the pressure to be positive yields an upper bound for the black hole mass, given by the mass of the Nariai solution. Beyond that bound, which is similar to the one found by Strominger requiring the conformal weights of CFT operators to be real, one encounters naked singularities.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/1196331844be01795655b91509d68fcd22efb360
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In Astronomy and Astrophysics
- Kostas Skenderis
- Marika Taylor
- U. Danielsson
- B. McInnes
- A. Maloney
- Andrew Strominger
- D. Freedman
- V. Hubeny
In Nuclear and High Energy Physics
- Kostas Skenderis
- Marika Taylor
- A. Maloney
- D. Freedman
- U. Danielsson
- V. Hubeny
- Ioannis Papadimitriou
- Andrew Strominger
In Statistical and Nonlinear Physics
- Kostas Skenderis
- Marika Taylor
- B. McInnes
- D. Freedman
- Andrew Strominger
- A. Maloney
- U. Danielsson
- M. Bianchi
Citations in the corpus
- New coordinates for de Sitter space and de Sitter radiation (2002, background): ““Time” becomes spacelike across the horizon, but is nevertheless Killing; this fact can be exploited to compute global charges such as mass [3, 4] in a natural way.”
- The dS/CFT Correspondence and the Big Smash (2001, background): “which indeed gives the correct [15] value, 3L/2, when t is taken to infinity [40].”
- Holographic Renormalization (2001, background): “Looking for supporting evidence to a possible dS/CFT correspondence, many authors investigated the asymptotic symmetries of asymptotically de Sitter spacetime and the associated conserved charges [66, 67, 68, 69, 70, 18].”
- Conformal vacua and entropy in de Sitter space (2001, methodology): “Hence they appear well-adapted to describing the physics accessible to a single observer, as advocated in [42].”
- Lecture notes on holographic renormalization (2002, background): “7]. Looking for supporting evidence to a possible dS/CFT correspondence, many authors investigated the asymptotic symmetries of asymptotically de Sitter spacetime and the associated conserved charges [67, 68, 69, 70, 71, 18]. We show in this appendix that the near-boundary analysis of asymptotically”
- Inflation, holography, and the choice of vacuum in de Sitter space (2002, background): “An incomplete list of references is given by [32-55].”