The dS/CFT correspondence

By Andrew Strominger. 2001

1,351 citations recorded by the source corpus.

A holographic duality is proposed relating quantum gravity on dSD (D-dimensional de Sitter space) to conformal field theory on a single SD−1 ((D-1)-sphere), in which bulk de Sitter correlators with points on the boundary are related to CFT correlators on the sphere, and points on + (the future boundary of dSD) are mapped to the antipodal points on SD−1 relative to those on −. For the case of dS3, which is analyzed in some detail, the central charge of the CFT2 is computed in an analysis of the asymptotic symmetry group at ±. This dS/CFT proposal is supported by the computation of correlation functions of a massive scalar field. In general the dual CFT may be non-unitary and (if for example there are sufficently massive stable scalars) contain complex conformal weights. We also consider the physical region − of dS3 corresponding to the causal past of a timelike observer, whose holographic dual lives on a plane rather than a sphere. − can be foliated by asymptotically flat spacelike slices. Time evolution along these slices is generated by L0+0, and is dual to scale transformations in the boundary CFT2.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2573faf3cca49339298af087a77db80808ad658c

How researchers see this paper

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In Astronomy and Astrophysics

1. D. Harlow
2. R. Myers
3. J. Maldacena
4. V. Hubeny
5. D. Baumann
6. T. Takayanagi
7. M. Rangamani
8. S. Raju

In Nuclear and High Energy Physics

1. D. Harlow
2. J. Maldacena
3. R. Myers
4. V. Hubeny
5. T. Takayanagi
6. S. Raju
7. D. Stanford
8. Thomas Hartman

In Statistical and Nonlinear Physics

1. D. Harlow
2. S. Raju
3. R. Myers
4. V. Hubeny
5. T. Takayanagi
6. Thomas Hartman
7. D. Stanford
8. J. Maldacena

Citations in the corpus

• Low-dimensional de Sitter quantum gravity (2019, methodology): “Thus we see that the central charge of asymptotically dS3 gravity is pure imaginary, which can also be deduced from a Brown-Henneaux-inspired analysis [6, 69].”
• Observables in effective gravity (2005, background): “The status of an observable S-matrix in the De Sitter case is more controversial, but see [3,4].”
• Some aspects of the de Sitter/CFT correspondence (2001, methodology): “This generalizes the result of [5] for threedimensional de Sitter gravity, where the last term in (2.”
• A holographic reduction of Minkowski space-time (2003, background): “…Fysica, Valckenierstraat65,1018XE Am sterdam ,The Netherlands 2Theoretische Physik,Ludwig-M axim iliansUniversit at, Theresienstrasse 37,D-80333,M unchen,Germ any A bstract M inkowskispacecan besliced,outsidethelightcone,in term sofEuclidean AntideSitterand Lorentzian deSitterslices.”
• Holographic Protection of Chronology in Universes of the Godel Type (2002, neutral): “LBNL-51821”
• The Annular Report on Non-Critical String Theory (2003, methodology): “discussion in the de Sitter context, see [41, 42]).”
• Integral geometry and holography (2015, background): “7 To our knowledge, this fact has not been exploited in studies of the dS/CFT correspondence [48] (but see [49]).”
• The phase transition to eternal inflation (2008, background): “In the context of the conjectured dS/CFT correspondence put forward in [34], it would be”
• On loops in inflation (2009, background): “For example, in the dS/CFT correspondence [33, 34], it is speculated that the time-dependence of correlation functions, which occurs at perturbative level in theories where spectators scalar fields have a potential term, should be mapped into renormalization group running for some operators in the C”
• Inflation, holography, and the choice of vacuum in de Sitter space (2002, background): “An incomplete list of references is given by [32-55].”
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions (2006, result): “The analysis of the asymptotic charge algebra has subsequently been performed in the context of asymptotically de Sitter spacetimes at timelike infinity [5] with results very similar to those obtained in the anti-de Sitter case.”
• The Holographic principle (2002, background): “Its quantum description has recently attracted much attention (e.g., Balasubramanian, Hořava, and Minic, 2001; Strominger, 2001a; Witten, 2001; for extensive lists of references, see, e.g., Balasubramanian, de Boer, and Minic, 2001; Spradlin and Volovich, 2001).”
• A)dS Backgrounds from Asymmetric Orientifolds (2001, neutral): “These difficulties may well have resolutions [26][27][19],”
• Carroll Symmetry, Dark Energy and Inflation (2021, background): “This hints towards a holographic description of (3 + 1)-dimensional de Sitter cosmology in terms of a three-dimensional Euclidean conformal field theory [38, 39] (see also [40, 41]), and generalizes straightforwardly to other dimensions.”
• Three-Dimensional Gravity Revisited (2007, background): “4 At least perturbatively, the de Sitter/CFT correspondence gives observables that can be measured by an observer who looks at the whole universe from the outside [19,18].”