Holographic entanglement entropy of de Sitter braneworld

Hirotaka Yoshino; Tetsuya Shiromizu; Tsutomu Kobayashi; Yukinori Iwashita

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Holographic entanglement entropy of de Sitter braneworld

Yukinori Iwashita, Tsutomu Kobayashi, Tetsuya Shiromizu, Hirotaka Yoshino

High Energy Physics - Theory · Submitted 5 Jun 2006

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

The authors' main claim Remarkably, the entropy obtained from the Euclidean path integral is in precise agreement with the holographic entanglement entropy in all dimensions.

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arXiv IDhep-th/0606027 (version 2)

Pith ID57QEQP6Q, Pith's permanent record of this paper and its review

CitationHirotaka Yoshino, Tetsuya Shiromizu, Tsutomu Kobayashi, Yukinori Iwashita. "Holographic entanglement entropy of de Sitter braneworld." arXiv:hep-th/0606027 (2006). https://pith.science/paper/57QEQP6Q

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.27 · human participants 0.01 · controlled comparison 0.13 · randomized assignment 0.01 · states quantitative result 0.29 · compares with prior results 0.96 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We study the holographic representation of the entanglement entropy, recently proposed by Ryu and Takayanagi, in a braneworld context. The holographic entanglement entropy of a de Sitter brane embedded in an anti-de Sitter (AdS) spacetime is evaluated using geometric quantities, and it is compared with two kinds of de Sitter entropy: a quarter of the area of the cosmological horizon on the brane and entropy calculated from the Euclidean path integral. We show that the three entropies coincide with each other in a certain limit. Remarkably, the entropy obtained from the Euclidean path integral is in precise agreement with the holographic entanglement entropy in all dimensions. We also comment on the case of a five-dimensional braneworld model with the Gauss-Bonnet term in the bulk.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the holographic representation of the entanglement entropy, recently proposed by Ryu and Takayanagi, in a braneworld context.	contribution 0.86	0.75	0.03	asserted 0.74
s1	The holographic entanglement entropy of a de Sitter brane embedded in an anti-de Sitter (AdS) spacetime is evaluated using geometric quantities, and it is compared with two kinds of de Sitter entropy: a quarter of the area of the cosmological horizon on the brane and entropy calculated from the Euclidean path integral.	method 0.51	0.90	0.11	asserted 1.00
s2	We show that the three entropies coincide with each other in a certain limit.	result 1.00	0.93	0.30	asserted 1.00
s3	Remarkably, the entropy obtained from the Euclidean path integral is in precise agreement with the holographic entanglement entropy in all dimensions.	result 1.00	0.85	0.51	asserted 1.00
s4	We also comment on the case of a five-dimensional braneworld model with the Gauss-Bonnet term in the bulk.	contribution 0.70	0.55	0.03	unclear 0.88

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Original abstract

We study the holographic representation of the entanglement entropy, recently proposed by Ryu and Takayanagi, in a braneworld context. The holographic entanglement entropy of a de Sitter brane embedded in an anti-de Sitter (AdS) spacetime is evaluated using geometric quantities, and it is compared with two kinds of de Sitter entropy: a quarter of the area of the cosmological horizon on the brane and entropy calculated from the Euclidean path integral. We show that the three entropies coincide with each other in a certain limit. Remarkably, the entropy obtained from the Euclidean path integral is in precise agreement with the holographic entanglement entropy in all dimensions. We also comment on the case of a five-dimensional braneworld model with the Gauss-Bonnet term in the bulk.

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References

Forward citations

Cited by 7 Pith papers

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

A Covariant Holographic Entanglement Entropy Proposal
hep-th 2007-05 accept novelty 8.0 of 10

Entanglement entropy in AdS/CFT is given by the area of the bulk extremal surface, the co-dimension two surface with vanishing null expansions, which reduces to the Ryu-Takayanagi minimal surface when the bulk is static.
Proof of the Holographic Formula for Entanglement Entropy
hep-th 2006-06 conditional novelty 6.0 of 10

The holographic entanglement entropy formula S = Area/(4G) follows from a saddle-point evaluation of the bulk path integral on replicated geometries with conical singularities.
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...
Entanglement Entropy and Complexity of Multicomponent Universe from Holography
hep-th 2026-01 conditional novelty 4.0 of 10

For two-component FLRW universes built from an AdS black brane plus p-brane gas, holographic entanglement entropy scales as tau early and as tau^{4/3} (dark matter) or tau^2 (exotic matter) late, while volume complexi...
Entanglement Entropy from a Holographic Viewpoint
gr-qc 2012-04 conditional novelty 2.0 of 10

A survey of the Ryu-Takayanagi proposal that entanglement entropy in a conformal field theory equals the area of a minimal surface in its dual anti-de Sitter gravity, with applications to black holes and boundary CFT.

Show 2 more citing papers

Entanglement entropy of black holes
hep-th 2011-04 accept novelty 2.0 of 10

A systematic review showing that the conical-singularity method computes black hole entanglement entropy whose UV divergences renormalize Newton's constant and quadratic curvature couplings, while non-minimally couple...
Holographic Entanglement Entropy: An Overview
hep-th 2009-05 conditional novelty 1.0 of 10

A 2009 review argues that entanglement entropy in a conformal field theory is computed by the area of a minimal surface in its dual anti-de Sitter spacetime, and surveys the evidence and applications.

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11 arXiv papers cite this in 22 sentences

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Papers citing it · 15 sentences without a confident label

Compares with it 2 papers

It should be noted that what as far as the UV divergent part of the entanglement entropy is concerned, the two proposals [ref] , [ref] and [ref] give the same result.

Entanglement entropy of black holes · Proposals for holographic entanglement entropy of black hole · 0.98
This set up is closely related to the dS braneworld field theory set up considered in [ref] except for one crucial distinction.

Holographic complexity of conformal fields in global de Sitter spacetime · AdS spacetime in global dS foliations · 0.96

Cites it as background 3 papers

By generalizing holography to encompass a gravitating system [ref] , this framework allows for the coexistence of both a conformal field theory (CFT) and a gravitating brane $Q$.

Exploring causality in braneworld/cutoff holography via holographic scattering · Introduction · 0.86
Some interesting studies regarding various information-theoretic quantities for the braneworld cosmological model can be found in [ref] .

Entanglement Entropy and Complexity of Multicomponent Universe from Holography · Introduction · 0.91
The entropy of two-dimensional de Sitter space has also been computed through holography in [ref] by means of the Randall-Sundrum construction [ref] .

Entropy from AdS(3)/CFT(2) · Introduction · 0.89

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