Embedding<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>inflation in supergravity

Ketov, Sergei V.; Starobinsky, Alexei A.

doi:10.1103/physrevd.83.063512

Cited by 109 publications

(111 citation statements)

References 22 publications

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“…The superfield description of the R + R 2 theory in the context of N = 1 and N = 2 supergravities have been considered by Ketov and collaborators [8,9,10]. However, in the N = 2 case, the proposed standard supergravity dual fails to describe the scalaron multiplet and the corresponding potential for the reasons outlined in this paper.…”

Section: Introductionmentioning

confidence: 96%

A search for an \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} =2 $\end{document} inflaton potential

Ceresole¹,

Dall’Agata²,

Ferrara³

et al. 2014

Fortschritte der Physik

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We consider N = 2 supergravity theories that have the same spectrum as the R + R 2 supergravity, as predicted from the off-shell counting of degrees of freedom. These theories describe standard N = 2 supergravity coupled to one or two long massive vector multiplets. The central charge is not gauged in these models and they have a Minkowski vacuum with N = 2 unbroken supersymmetry. The gauge symmetry, being non-compact, is always broken. α-deformed inflaton potentials are obtained, in the case of a single massive vector multiplet, with α = 1/3 and 2/3. The α = 1 potential (i.e. the Starobinsky potential) is also obtained, but only at the prize of having a single massive vector and a residual unbroken gauge symmetry. The inflaton corresponds to one of the Cartan fields of the non-compact quaternionic-Kähler cosets.

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Section: Introductionmentioning

confidence: 96%

A search for an \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} =2 $\end{document} inflaton potential

Ceresole¹,

Dall’Agata²,

Ferrara³

et al. 2014

Fortschritte der Physik

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“…A different approach to Starobinsky inflation in supergravity has been followed in Refs. [8] where appropriate F-supergravity extension of f(R) gravity has been employed, dual to the standard approach in terms of Kähler potentials and superpotentials.…”

Section: Starobinsky Model In the Old-minimal Supergravitymentioning

confidence: 99%

“…However, when higher derivatives appear, this duality does not work and the two theories are different. Earlier [7,8] and recent [10][11][12] embeddings of the Starobinsky model have been all based on the old-minimal formulation of N = 1 supergravity.…”

mentioning

confidence: 99%

On the Starobinsky model of inflation from supergravity

2013

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We discuss how the higher-derivative Starobinsky model of inflation originates from N = 1 supergravity. It is known that, in the old-minimal supergravity description written by employing a chiral compensator in the superconformal framework, the Starobinsky model is equivalent to a no-scale model with F -term potential. We show that the Starobinsky model can also be originated within the so-called new-minimal supergravity, where a linear compensator superfield is employed. In this formulation, the Starobinsky model is equivalent to standard supergravity coupled to a massive vector multiplet whose lowest scalar component plays the role of the inflaton and the vacuum energy is provided by a D-term potential. We also point out that higher-order corrections to the supergravity Lagrangian represent a threat to the Starobinsky model as they can destroy the flatness of the inflaton potential in its scalar field equivalent description.

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“…For this reason, there has been a a renewed interest on the Starobinsky model, with particular emphasis on its supergravity extensions [5][6][7][8][9][10][11], along the lines originated in Refs. [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

The imaginary Starobinsky model

Ferrara

Kehagias

Riotto³

2014

Fortschritte der Physik

114

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The recent detection by the BICEP2 collaboration of a high level of tensor modes seems to exclude the Starobinsky model of inflation. In this paper we show that this conclusion can be avoided: one can embed the Starobinsky model in supergravity and identify the inflaton field with the imaginary (instead of the real) part of the chiral scalaron multiplet in its formulation. Once coupled to matter, the Starobinsky model may then become the chaotic quadratic model with shift symmetry during inflation and is in good agreement with the current data.

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EmbeddingR+R2inflation in supergravity

Cited by 109 publications

References 22 publications

A search for an \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} =2 $\end{document} inflaton potential

A search for an \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} =2 $\end{document} inflaton potential

On the Starobinsky model of inflation from supergravity

The imaginary Starobinsky model

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