Brane World Effective Action at Low Energies and AdS/CFT Correspondence

Jiro Soda; Sugumi Kanno

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Brane World Effective Action at Low Energies and AdS/CFT Correspondence

Sugumi Kanno, Jiro Soda

High Energy Physics - Theory · Submitted 18 May 2002

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

The authors' main claim Moreover, the precise correspondence between the bulk geometry and the brane effective action is established, which gives a holographic view of the brane world.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.71 · mentions code or data availability 0.01.

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A low energy iteration scheme to study nonlinear gravity in the brane world is developed. As a result, we obtain the brane world effective action at low energies. The relation between the geometrical approach and the approach using the AdS/CFT correspondence is also clarified. In particular, we find generalized dark radiation as homogeneous solutions in our iteration scheme. Moreover, the precise correspondence between the bulk geometry and the brane effective action is established, which gives a holographic view of the brane world.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	A low energy iteration scheme to study nonlinear gravity in the brane world is developed.	method 0.75	0.94	0.08	asserted 1.00
s1	As a result, we obtain the brane world effective action at low energies.	result 0.97	0.94	0.39	asserted 1.00
s2	The relation between the geometrical approach and the approach using the AdS/CFT correspondence is also clarified.	contribution 0.56	0.82	0.13	asserted 1.00
s3	In particular, we find generalized dark radiation as homogeneous solutions in our iteration scheme.	result 1.00	0.95	0.16	asserted 1.00
s4	Moreover, the precise correspondence between the bulk geometry and the brane effective action is established, which gives a holographic view of the brane world.	interpretation 0.73	0.91	0.51	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.70 · evidence from proof or derivation 1.00.

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The paper

Original abstract

A low energy iteration scheme to study nonlinear gravity in the brane world is developed. As a result, we obtain the brane world effective action at low energies. The relation between the geometrical approach and the approach using the AdS/CFT correspondence is also clarified. In particular, we find generalized dark radiation as homogeneous solutions in our iteration scheme. Moreover, the precise correspondence between the bulk geometry and the brane effective action is established, which gives a holographic view of the brane world.

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References

Forward citations

Cited by 4 Pith papers

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

Quantum Black Holes as Holograms in AdS Braneworlds
hep-th 2002-06 conditional novelty 7.0 of 10

Classical brane-localized black holes in AdS braneworlds are conjectured to be dual to quantum-corrected black holes of a cutoff conformal field theory coupled to gravity, supported by parametric matches in 2+1 dimensions.
Effective Dynamics of Inflationary End-of-the-World Branes in AdS$_3$
hep-th 2026-09 accept novelty 6.0 of 10

By integrating out the AdS3 bulk, the brane's effective action reduces to a Liouville-like theory, allowing construction of slow-roll inflationary solutions and evaluation of their semiclassical wavefunction.
Simple fixed-brane gauges in $S_1/Z_2$ braneworlds
hep-th 2006-04 conditional novelty 6.0 of 10

For Randall-Sundrum two-brane cosmologies with a Schwarzschild-AdS bulk, simple fixed-brane gauges exist and can be built order by order in either time after collision or brane velocity.
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...

How the literature uses it

17 arXiv papers cite this in 27 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 · 16 sentences without a confident label

Uses its method or tool 4 papers

In this section, we derive the low energy effective theory for higher-dimensional two branes system solving the bulk geometry formally in the gradient expansion approximation developed by Kanno and Soda [ref] (see also [ref] ).

Kaluza-Klein two-brane-worlds cosmology at low energy · Low energy effective theory for higher-dimensional two brane worlds · 0.99
We employ the gradient expansion approach to solve the 6D bulk geometry [ref] .

Low energy effective theory on a regularized brane in six-dimensional flux compactifications · Gradient expansion approach · 1.00
We will follow Kanno and Soda [ref] to integrate out the 5D bulk.

Holography for the Trace Anomaly Action · The Riegert action from $AdS_5$ · 1.00

Compares with it 1 paper

Our method has similarities to the gradient expansion method of Kanno and Soda [ref] .

A four-dimensional description of five-dimensional N-brane models · Overview of the Method and Results · 0.93

Cites it as background 5 papers

In the original Randall–Sundrum braneworld models, the Planck length, $ℓ_p$ (for $8πG_4 = ℓ_p^2$, where $G_4$ is the 4D Newton constant), is related to the 5D fundamental gravitational length $ℓ_5$ by $ℓ^2_p = σℓ^3_5$ [ref] , where $σ$ is the brane tension.] [ref] .

Transport coefficients associated to black holes on the brane: analysis of the shear viscosity-to-entropy density ratio · Scrutinizing the $β$ parameter · 0.80
It is also important to understand the low energy description of the Kaluza-Klein braneworld [ref] and the Kaluza-Klein corrections [ref] .

Kaluza-Klein braneworld cosmology with static internal dimensions · Conclusion · 0.81
The various properties and characteristics of the RS model have been extensively analyzed: the cosmology framework [ref] , the low energy effective theory [ref] , the black hole physics [ref] , and the Lorentz violation [ref] .

Kaluza-Klein brane cosmology with a bulk scalar field · Introduction · 1.00

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