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Gauged Supergravities, de Sitter Space and Cosmology
High Energy Physics - Theory · Submitted 9 Oct 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim All de Sitter extrema that we have studied correspond to unstable maximum/saddle points with negative curvature |V''|=2V for the fields canonically normalized at the extremum.
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We have studied scalar potentials V of gauged N=8,4,2 supergravities in d=4. Extrema of these potentials may correspond to de Sitter, anti de Sitter and Minkowski vacua. All de Sitter extrema that we have studied correspond to unstable maximum/saddle points with negative curvature |V''|=2V for the fields canonically normalized at the extremum. This is equivalent to the relation |m^2| =|R|/2 = 6H^2 for the tachyonic mass m, the curvature scalar R, and the Hubble constant H. This prevents the use of de Sitter extrema for slow-roll inflation in the early universe, which would require |V''| \ll V . Moreover, in all models that we were able to analyse the potential is unbounded from below. On the other hand, barring the question how realistic such models could be, one can use them for the description of the accelerated expansion of the universe at the present epoch. This is related to a novel possibility of the fast-roll inflation with |V''| > V . We also display some potentials that have flat directions with vanishing cosmological constant, and discuss their possible cosmological implications.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We have studied scalar potentials V of gauged N=8,4,2 supergravities in d=4. | contribution 1.00 | 0.94 | 0.03 | asserted 0.97 |
| s1 | Extrema of these potentials may correspond to de Sitter, anti de Sitter and Minkowski vacua. | background 0.72 | 0.21 | 0.05 | hedged possibility 1.00 |
| s2 | All de Sitter extrema that we have studied correspond to unstable maximum/saddle points with negative curvature |V''|=2V for the fields canonically normalized at the extremum. | result 1.00 | 0.93 | 0.64 | asserted 0.99 |
| s3 | This is equivalent to the relation |m^2| =|R|/2 = 6H^2 for the tachyonic mass m, the curvature scalar R, and the Hubble constant H. | result 0.62 | 0.69 | 0.14 | asserted 1.00 |
| s4 | This prevents the use of de Sitter extrema for slow-roll inflation in the early universe, which would require |V''| \ll V . | interpretation 0.93 | 0.44 | 0.17 | asserted 0.98 |
| s5 | Moreover, in all models that we were able to analyse the potential is unbounded from below. | result 0.94 | 0.89 | 0.13 | asserted 0.99 |
| s6 | On the other hand, barring the question how realistic such models could be, one can use them for the description of the accelerated expansion of the universe at the present epoch. | interpretation 0.97 | 0.46 | 0.12 | hedged possibility 0.92 |
| s7 | This is related to a novel possibility of the fast-roll inflation with |V''| > V . | interpretation 0.82 | 0.63 | 0.08 | hedged possibility 0.79 |
| s8 | We also display some potentials that have flat directions with vanishing cosmological constant, and discuss their possible cosmological implications. | contribution 0.74 | 0.90 | 0.04 | asserted 0.60 |
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Original abstract
We have studied scalar potentials V of gauged N=8,4,2 supergravities in d=4. Extrema of these potentials may correspond to de Sitter, anti de Sitter and Minkowski vacua. All de Sitter extrema that we have studied correspond to unstable maximum/saddle points with negative curvature |V''|=2V for the fields canonically normalized at the extremum. This is equivalent to the relation |m^2| =|R|/2 = 6H^2 for the tachyonic mass m, the curvature scalar R, and the Hubble constant H. This prevents the use of de Sitter extrema for slow-roll inflation in the early universe, which would require |V''| \ll V . Moreover, in all models that we were able to analyse the potential is unbounded from below. On the other hand, barring the question how realistic such models could be, one can use them for the description of the accelerated expansion of the universe at the present epoch. This is related to a novel possibility of the fast-roll inflation with |V''| > V . We also display some potentials that have flat directions with vanishing cosmological constant, and discuss their possible cosmological implications.
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References
How the literature uses it
13 arXiv papers cite this in 16 sentences
Papers citing it · 11 sentences without a confident label
Cites it as background 5 papers
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Thus minimal supergravity can be seen as an effective theory in four dimensions, and can be applied to cosmology at least as a first approximation or a toy model.[For some models of extended supergravities in cosmology, see [ref] .] In the framework of minimal supergravity, Refs. [ref] were the first attempts to describe dark energy through quintessence.
Cosmological tracking solution and the Super-Higgs mechanism · Introduction · 0.90
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Models with slow-roll inflation $(|V”|≪|V|)$ and fast-roll inflation $(|V”|∼|V|)$ have been considered in [ref] .
Stable de Sitter Vacua in 4 Dimensional Supergravity Originating from 5 Dimensions · Introduction · 0.92
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Investigations on this mainly focus on extended gauged supergravities [ref] , and some on $𝒩=1$ supergravity [ref] .
Universal de Sitter solutions at tree-level · Discussion · 0.95
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