High Energy Physics - Theory · arXiv:hep-th/0507262 v2 · submitted 27 Jul 2005
Gravitational duality near de Sitter space
The paper says
“The de Sitter action itself is found to be equivalent to a simple and natural quadratic action.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
Gravitational instantons ”Lambda-instantons” are defined here for any given value Lambda of the cosmological constant. A multiple of the Euler characteristic appears as an upper bound for the de Sitter action and as a lower bound for a family of quadratic actions. The de Sitter action itself is found to be equivalent to a simple and natural quadratic action. In this paper we also describe explicitly the reparameterization and duality invariances of gravity (in 4 dimensions) linearized about de Sitter space. A noncovariant doubling of the fields using the Hamiltonian formalism leads to first order time evolution with manifest duality symmetry. As a special case we recover the linear flat space result of Henneaux and Teitelboim by a smooth limiting process.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.74 · compares with prior results 0.90 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| Gravitational instantons ''Lambda-instantons'' are defined here for any given value Lambda of the cosmological constant. | contribution 0.96 | 0.84 | 0.07 | asserted 1.00 |
| A multiple of the Euler characteristic appears as an upper bound for the de Sitter action and as a lower bound for a family of quadratic actions. | result 1.00 | 0.74 | 0.21 | asserted 1.00 |
| The de Sitter action itself is found to be equivalent to a simple and natural quadratic action. | result 1.00 | 0.95 | 0.26 | asserted 1.00 |
| In this paper we also describe explicitly the reparameterization and duality invariances of gravity (in 4 dimensions) linearized about de Sitter space. | contribution 0.99 | 0.91 | 0.13 | asserted 1.00 |
| A noncovariant doubling of the fields using the Hamiltonian formalism leads to first order time evolution with manifest duality symmetry. | method 0.85 | 0.87 | 0.10 | asserted 1.00 |
| As a special case we recover the linear flat space result of Henneaux and Teitelboim by a smooth limiting process. | result 0.75 | 0.79 | 0.06 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00
What was examined, and what was not
Sources read
- arXiv listing abstract v2
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,874 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 8 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Setting the boundary free in AdS/CFT hep-th · May 2008
- On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields hep-th · Jul 2007
- Manifest Duality for Partially Massless Higher Spins hep-th · Aug 2016
- Higher Spin Conformal Geometry in Three Dimensions and Prepotentials for Higher Spin Gauge Fields hep-th · Nov 2015
- Momentum dissipation and effective theories of coherent and incoherent transport hep-th · Nov 2014
- Dual Gravitons in AdS4/CFT3 and the Holographic Cotton Tensor hep-th · Aug 2008
- Monopoles for Gravitation and for Higher Spin Fields hep-th · Jan 2006
- Spacelike Singularities and Hidden Symmetries of Gravity hep-th · Oct 2007
How the literature uses it
23 arXiv papers cite this in 26 sentences
Papers citing it · 16 sentences without a confident label
Builds on it 1 paper
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This work was generalized in the presence of a cosmological constant in [ref] .
Gravitational duality in General Relativity and Supergravity theories · Gravitational duality for linearized general relativity · 0.85
Cites it as background 8 papers
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In the same, non manifestly Lorentz-covariant framework, a double-potential formulation of linearised gravity around (A)dS$_n$ spacetime was studied in [ref] for $n=4$ and in [ref] for $n>4$.
Dual actions for massless, partially-massless and massive gravitons in (A)dS · Introduction · 0.90
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In de Sitter spacetime and anti-de Sitter spacetime, the duality symmetry of linearized gravity is discussed in [ref] .
Symmetry group at future null infinity III: Gravitational theory · Duality operator · 0.88
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The idea of cosmological and gravitational instantons and their contribution in dark energy is also studied both for inflation in de Sitter background [ref] and in the framework of QGR models of spin-2 gravitons [ref] .
$SU(\infty)$ Quantum Gravity: Emergence of Gravity in an Infinitely Divisible Quantum Universe · $Θ-$vacuum · 0.85
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