Brane New World

H.S. Reall; S.W. Hawking; T. Hertog

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Brane New World

S.W. Hawking, T. Hertog, H.S. Reall

High Energy Physics - Theory · Submitted 7 Mar 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Since generic matter would be expected to behave like a CFT on small scales, our results suggest that tensor perturbations on small scales are far smaller than predicted by all previous calculations, which have neglected the effects of matter on tensor perturbations.

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What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.28 · human participants 0.01 · controlled comparison 0.16 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.95 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

We study a Randall-Sundrum cosmological scenario consisting of a domain wall in anti-de Sitter space with a strongly coupled large $N$ conformal field theory living on the wall. The AdS/CFT correspondence allows a fully quantum mechanical treatment of this CFT, in contrast with the usual treatment of matter fields in inflationary cosmology. The conformal anomaly of the CFT provides an effective tension which leads to a de Sitter geometry for the domain wall. This is the analogue of Starobinsky's four dimensional model of anomaly driven inflation. Studying this model in a Euclidean setting gives a natural choice of boundary conditions at the horizon. We calculate the graviton correlator using the Hartle-Hawking ``No Boundary'' proposal and analytically continue to Lorentzian signature. We find that the CFT strongly suppresses metric perturbations on all but the largest angular scales. This is true independently of how the de Sitter geometry arises, i.e., it is also true for four dimensional Einstein gravity. Since generic matter would be expected to behave like a CFT on small scales, our results suggest that tensor perturbations on small scales are far smaller than predicted by all previous calculations, which have neglected the effects of matter on tensor perturbations.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study a Randall-Sundrum cosmological scenario consisting of a domain wall in anti-de Sitter space with a strongly coupled large $N$ conformal field theory living on the wall.	contribution 0.81	0.68	0.03	asserted 0.94
s1	The AdS/CFT correspondence allows a fully quantum mechanical treatment of this CFT, in contrast with the usual treatment of matter fields in inflationary cosmology.	background 0.75	0.09	0.03	asserted 1.00
s2	The conformal anomaly of the CFT provides an effective tension which leads to a de Sitter geometry for the domain wall.	result 0.62	0.41	0.09	asserted 1.00
s3	This is the analogue of Starobinsky's four dimensional model of anomaly driven inflation.	background 0.74	0.09	0.04	asserted 1.00
s4	Studying this model in a Euclidean setting gives a natural choice of boundary conditions at the horizon.	method 0.96	0.41	0.02	asserted 0.96
s5	We calculate the graviton correlator using the Hartle-Hawking ``No Boundary'' proposal and analytically continue to Lorentzian signature.	method 0.99	0.94	0.03	asserted 0.99
s6	We find that the CFT strongly suppresses metric perturbations on all but the largest angular scales.	result 1.00	0.96	0.53	asserted 1.00
s7	This is true independently of how the de Sitter geometry arises, i.e., it is also true for four dimensional Einstein gravity.	interpretation 0.52	0.66	0.13	asserted 1.00
s8	Since generic matter would be expected to behave like a CFT on small scales, our results suggest that tensor perturbations on small scales are far smaller than predicted by all previous calculations, which have neglected the effects of matter on tensor perturbations.	interpretation 1.00	0.39	0.78	hedged possibility 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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arXiv listing abstract v3

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references and citing sentences
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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We study a Randall-Sundrum cosmological scenario consisting of a domain wall in anti-de Sitter space with a strongly coupled large $N$ conformal field theory living on the wall. The AdS/CFT correspondence allows a fully quantum mechanical treatment of this CFT, in contrast with the usual treatment of matter fields in inflationary cosmology. The conformal anomaly of the CFT provides an effective tension which leads to a de Sitter geometry for the domain wall. This is the analogue of Starobinsky's four dimensional model of anomaly driven inflation. Studying this model in a Euclidean setting gives a natural choice of boundary conditions at the horizon. We calculate the graviton correlator using the Hartle-Hawking ``No Boundary'' proposal and analytically continue to Lorentzian signature. We find that the CFT strongly suppresses metric perturbations on all but the largest angular scales. This is true independently of how the de Sitter geometry arises, i.e., it is also true for four dimensional Einstein gravity. Since generic matter would be expected to behave like a CFT on small scales, our results suggest that tensor perturbations on small scales are far smaller than predicted by all previous calculations, which have neglected the effects of matter on tensor perturbations.

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References

Forward citations

Cited by 13 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen
hep-th 2026-05 unverdicted novelty 7.0 of 10

In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.
Gravity and large black holes in Randall-Sundrum II braneworlds
hep-th 2011-05 conditional novelty 7.0 of 10

Large static black holes exist in the Randall-Sundrum II braneworld up to at least 20 times the AdS length, contradicting a 2002 no-go conjecture, and show no sign of axisymmetric instability.
Setting the boundary free in AdS/CFT
hep-th 2008-05 conditional novelty 7.0 of 10

Counter-term contributions to the bulk symplectic structure make fluctuations of the AdS boundary metric normalizable, so Neumann boundary conditions define a consistent bulk dual of a CFT with a dynamical metric.
Braneworld models of dark energy
astro-ph 2002-02 conditional novelty 6.0 of 10

Adding brane and bulk cosmological constants to a braneworld with an induced curvature term yields a cosmology that can mimic phantom dark energy without phantom pathologies, and can make the current acceleration transient.
Radion Dynamics and Electroweak Physics
hep-th 2000-08 conditional novelty 6.0 of 10

Including the stabilizing scalar's backreaction on the bulk geometry gives the Randall-Sundrum radion a mass somewhat below the TeV scale, and its one-loop contribution to the electroweak S parameter is negative and s...

Show 8 more citing papers

Black Hole Entropy and Holographic Entanglement Entropy in DGP Brane Gravity
hep-th 2026-10 conditional novelty 5.0 of 10

In DGP braneworlds, black hole entropy equals holographic entanglement entropy precisely when the brane extrinsic curvature satisfies a condition that is automatic for static black holes, and the same condition govern...
de Sitter Cosmology on an expanding bubble
hep-th 2019-07 conditional novelty 5.0 of 10

An effective four-dimensional de Sitter cosmology, with its temperature and gravity, can arise on a bubble wall separating two anti-de Sitter vacua, avoiding a fundamental de Sitter vacuum.
Black Hole Microstate Cosmology
hep-th 2018-10 conditional novelty 5.0 of 10

For black hole microstates built by Euclidean evolution of conformal boundary states, the time dependence of entanglement entropy of large subsystems probes the geometry behind the horizon, within a constant-tension e...
Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
hep-th 2001-12 conditional novelty 5.0 of 10

In five-dimensional Einstein-Gauss-Bonnet gravity, charged black hole entropy can be negative for some parameter ranges, which the authors propose signals a new phase transition between de Sitter and anti-de Sitter bl...
Trace-anomaly driven inflation in modified gravity and the BICEP2 result
hep-th 2014-03 conditional novelty 4.0 of 10

An exponential F(R) model with a conformal-anomaly source can reach the BICEP2 tensor-to-scalar ratio, but only at a parameter point where the paper's own formulas give a scalar spectral index far from Planck's.
Review of the No-Boundary Wave Function
hep-th 2023-03 accept novelty 3.0 of 10

The no-boundary wave function, implemented via a regular momentum condition at the South Pole rather than a literal sum over compact metrics, yields stable semiclassical saddle points that prefer low inflationary ener...
Brane-World Gravity
hep-th 2010-04 accept novelty 3.0 of 10

Brane-world models recover four-dimensional gravity at low energies while predicting calculable, testable corrections at high energies, and this review consolidates their geometry, cosmology, and observational status.
Brane-world gravity
gr-qc 2003-12 accept novelty 2.0 of 10

A comprehensive 2003 survey of Randall-Sundrum brane-world gravity, covering the covariant projection formalism, brane cosmology, the black hole problem, and cosmological perturbation theory, with an explicit list of ...

How the literature uses it

24 arXiv papers cite this in 35 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 14 sentences without a confident label

Uses its method or tool 1 paper

This is the approach chosen in [ref] .

A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen · Solving for the scalar and vector parts · 0.99

Compares with it 2 papers

Interestingly, [ref] concluded that the quantum creation of such a universe would be described by the Hartle-Hawking amplitude.

A higher-dimensional view on quantum cosmology · Conclusion · 0.85
Overall, this reinterpretation of the spacetime geometry seems tantalizingly similar to the situation in Refs. [ref] .

On de Sitter Spacetime and String Theory · The Metric · 0.97

Cites it as background 14 papers

Due to arguments from the AdS/CFT correspondence [ref] , the low-energy theory on the brane can be described by gravity coupled to a large $N$, strongly coupled CFT [ref] .

Rotating black holes in Randall-Sundrum II braneworlds · Introduction · 0.84
The duality for RS backgrounds follows the discussions in [ref] and references therein.

Topics in noncommutative integrable theories and holographic brane-world cosmology · Renormalized scalar action · 0.81
However, there has also been a program, initiated by Hertog and Hartle in [ref] and developed in [ref] , to define the no-boundary wave function more directly in terms of AdS/CFT (earlier ideas in this direction include [ref] ).

Review of the No-Boundary Wave Function · Link to AdS/CFT and Holographic Definition · 0.93

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