A power law for the lowest eigenvalue in localized massive gravity

Andre Miemiec

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A power law for the lowest eigenvalue in localized massive gravity

Andre Miemiec

High Energy Physics - Theory · Submitted 17 Nov 2000

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

The authors' main claim In contrast to a linear dependence of the cosmological constant we find a quadratic one [hep-th/0011156].

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.17 · randomized assignment 0.01 · states quantitative result 0.48 · compares with prior results 0.92 · mentions code or data availability 0.02.

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This short note contains a detailed analysis to find the right power law the lowest eigenvalue of a localized massive graviton bound state in a four dimensional AdS background has to satisfy. In contrast to a linear dependence of the cosmological constant we find a quadratic one [hep-th/0011156].

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	This short note contains a detailed analysis to find the right power law the lowest eigenvalue of a localized massive graviton bound state in a four dimensional AdS background has to satisfy.	contribution 1.00	0.90	0.13	asserted 0.97
s1	In contrast to a linear dependence of the cosmological constant we find a quadratic one [hep-th/0011156].	result 1.00	0.84	0.86	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 1.00.

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The paper

Original abstract

This short note contains a detailed analysis to find the right power law the lowest eigenvalue of a localized massive graviton bound state in a four dimensional AdS background has to satisfy. In contrast to a linear dependence of the cosmological constant we find a quadratic one [hep-th/0011156].

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References

Forward citations

Cited by 8 Pith papers

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

Locally Localized Gravity
hep-th 2000-11 conditional novelty 7.0 of 10

A non-fine-tuned AdS4 brane in AdS5 has no massless graviton zero mode, but it binds a light massive spin-2 state that reproduces four-dimensional gravity at distances short compared with the AdS curvature scale.
Relative Quantum Gravity: Localized Gravity and the Swampland
hep-th 2025-01 conditional novelty 6.0 of 10

Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.
Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
hep-th 2021-12 conditional novelty 6.0 of 10

At finite temperature in a doubly holographic black string, entanglement islands exist below the critical brane angle but are confined to a finite region on the brane, giving a two-parameter phase structure of constan...
Quantum Extremal Islands Made Easy, Part II: Black Holes on the Brane
hep-th 2020-09 accept novelty 6.0 of 10

In a braneworld model, islands for non-extremal black holes reduce to an ordinary Ryu-Takayanagi phase transition, giving full Page curves in any dimension, while extremal black holes in d>2 have no islands at small b...
Quantum Extremal Islands Made Easy, Part I: Entanglement on the Brane
hep-th 2020-06 conditional novelty 6.0 of 10

In a brane-world holographic model, quantum extremal islands arise from ordinary Ryu-Takayanagi surfaces crossing the brane, so islands need not require black holes or horizons.

Show 3 more citing papers

Spin-2 spectrum of defect theories
hep-th 2011-03 conditional novelty 6.0 of 10

Spin-2 excitations of the supersymmetric Janus supergravity solution obey Heun's equation; their numerically computed masses fall and crowd together as the dilaton jump grows, and Janus cannot localize four-dimensiona...
Defect Conformal Field Theory and Locally Localized Gravity
hep-th 2003-03 accept novelty 6.0 of 10

Bulk mode expansion in AdS equals the boundary operator product expansion at a defect, and local localization of gravity corresponds to a reduced operator in that expansion acquiring a negative anomalous dimension.
Massive Islands
hep-th 2020-06 conditional novelty 5.0 of 10

In a solvable holographic model with a massive graviton, entanglement islands form and dominate the entropy at late times, but their contribution vanishes as the graviton mass goes to zero.

How the literature uses it

14 arXiv papers cite this in 21 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

Compares with it 2 papers

This reproduces the known $4d$ result [ref] .

The Dictionary for Double Holography and Graviton Masses in d Dimensions · Introduction · 0.94
The scaling with the d-dimensional cosmological constant $- 1/ℓ^2_eff$ agrees with predictions in the Karch-Randall model [ref] .

Quantum Extremal Islands Made Easy, Part I: Entanglement on the Brane · Three perspectives: Bulk/Brane/Boundary · 0.89

Cites it as background 2 papers

The remainder of this paper is organised as follows: In section [ref], we review the bulk geometry and effective action of our model presented in [ref] , which is based on the Karch-Randall setup [ref] for branes embedded in AdS.

Quantum Extremal Islands Made Easy, Part II: Black Holes on the Brane · Introduction · 0.86
Supersymmetry structure in braneworld gravity has been already pointed out by several authors and used to analyze the Kaluza–Klein spectrum [ref] .

Emergent Supersymmetry in Warped Backgrounds · From general coordinate invariance to quantum mechanical supersymmetry · 0.91

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