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Holographic de Sitter Universe
High Energy Physics - Theory · Submitted 30 Apr 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Finally, the inflationary dS can also be regarded as the boundary of AdS5, and this can be extended to include general cosmology with a positive cosmological constant, however at the price of introducing a naked null singularity in the bulk unless the cosmology is pure de Sitter space.
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The abstract, sentence by sentence
We propose to embed de Sitter space into five dimensional anti-de Sitter space to compute some physical quantities of interest, using the AdS/CFT correspondence. The static de Sitter can be considered as the conformal structure of the boundary of the hyperbolic AdS5 with a horizon, thus energy as well as entropy can be computed. The global dS can be embedded into a half-global AdS5, and the dS entropy can be regarded as entanglement entropy in this case. Finally, the inflationary dS can also be regarded as the boundary of AdS5, and this can be extended to include general cosmology with a positive cosmological constant, however at the price of introducing a naked null singularity in the bulk unless the cosmology is pure de Sitter space.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose to embed de Sitter space into five dimensional anti-de Sitter space to compute some physical quantities of interest, using the AdS/CFT correspondence. | contribution 0.78 | 0.45 | 0.19 | speculative 0.49 |
| s1 | The static de Sitter can be considered as the conformal structure of the boundary of the hyperbolic AdS5 with a horizon, thus energy as well as entropy can be computed. | method 0.64 | 0.45 | 0.16 | asserted 0.62 |
| s2 | The global dS can be embedded into a half-global AdS5, and the dS entropy can be regarded as entanglement entropy in this case. | contribution 0.39 | 0.54 | 0.15 | asserted 0.93 |
| s3 | Finally, the inflationary dS can also be regarded as the boundary of AdS5, and this can be extended to include general cosmology with a positive cosmological constant, however at the price of introducing a naked null singularity in the bulk unless the cosmology is pure de Sitter space. | limitation 0.81 | 0.60 | 0.27 | asserted 0.74 |
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The paper
Original abstract
We propose to embed de Sitter space into five dimensional anti-de Sitter space to compute some physical quantities of interest, using the AdS/CFT correspondence. The static de Sitter can be considered as the conformal structure of the boundary of the hyperbolic AdS5 with a horizon, thus energy as well as entropy can be computed. The global dS can be embedded into a half-global AdS5, and the dS entropy can be regarded as entanglement entropy in this case. Finally, the inflationary dS can also be regarded as the boundary of AdS5, and this can be extended to include general cosmology with a positive cosmological constant, however at the price of introducing a naked null singularity in the bulk unless the cosmology is pure de Sitter space.
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References
How the literature uses it
7 arXiv papers cite this in 7 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 3 papers
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We turn next to the determination of the entropy of de Sitter space through holography, a problem that has been the focus of several studies [ref] .
Entanglement entropy, horizons and holography · Introduction · 1.00
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We focus on cosmological models proposed in the context of AdS/CFT or, more generally, the gauge/gravity correspondence (see [ref] for references).
Fluctuation and dissipation in de Sitter space · Introduction · 0.95
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To date, there have been a number of proposals for holographic theories living in de Sitter space and other cosmological backgrounds [ref] .
Entanglement and out-of-equilibrium dynamics in holographic models of de Sitter QFTs · Introduction · 0.94
What it cites · 7 sentences without a confident label
Uses the method or tool of 3 papers
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The holographic entropy is then [ref] [equation] where $Σ$ is a three dimensional minimal surface in $AdS_5$ bounded by the equator.
Holographic Derivation of Entanglement Entropy from AdS/CFT · Holographic Static de Sitter · 0.93
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We now compute the energy and entropy of this state via AdS/CFT method [ref] - [ref] .
A Stress Tensor for Anti-de Sitter Gravity · Holographic Static de Sitter · 1.00
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We now compute the energy and entropy of this state via AdS/CFT method [ref] - [ref] .
AdS/CFT Duals of Topological Black Holes and the Entropy of Zero-Energy States · Holographic Static de Sitter · 1.00
Cites as background 10 papers
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It is known that de Sitter space can be embedded into anti-de Sitter space as its boundary, while some aspects of quantum field theory on de Sitter space based on the AdS/CFT correspondence were explored in [ref] - [ref] and references therein.
Vacuum decay into Anti de Sitter space · Introduction · 0.92
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It is known that de Sitter space can be embedded into anti-de Sitter space as its boundary, while some aspects of quantum field theory on de Sitter space based on the AdS/CFT correspondence were explored in [ref] - [ref] and references therein.
Strongly Coupled CFT in FRW Universe from AdS/CFT Correspondence · Introduction · 0.92
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Many attempts have been made to understand the origin of de Sitter space as well as physics in de Sitter space, such as the string landscape scenario [ref] - [ref] , matrix model of de Sitter space [ref] , the dS/CFT correspondence [ref] - [ref] , and resonant bubble in AdS [ref] [Some comments on embedding inflation in AdS/CFT can be found in [ref] ], to name a few.
The dS/CFT Correspondence · Introduction · 1.00
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