### Abstract

We discuss an R+Rn class of modified N=1, D=4 supergravity models where the deformation is a monomial Rn|F in the chiral scalar curvature multiplet R of the "old minimal" auxiliary field formulation. The scalaron and goldstino multiplets are dual to each other in this theory. Since one of them is not dynamical, this theory, as recently shown, cannot be used as the supersymmetric completion of R+R^{n} gravity. This is confirmed by investigating the scalar potential and its critical points in the dual standard supergravity formulation with a single chiral multiplet with specific Kähler potential and superpotential. We study the vacuum structure of this dual theory and we find that there is always a supersymmetric Minkowski critical point which however is pathological for n≥3 as it corresponds to a corner (n=3) and a cusp (n>3) point of the potential. For n>3 an anti-de Sitter regular supersymmetric vacuum emerges. As a result, this class of models are not appropriate to describe inflation. We also find the mass spectrum and we provide a general formula for the masses of the scalars of a chiral multiplet around the anti-de Sitter critical point and their relation to osp(1, 4) unitary representations.

Original language | English (US) |
---|---|

Pages (from-to) | 314-318 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 727 |

Issue number | 1-3 |

DOIs | |

State | Published - Nov 25 2013 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*727*(1-3), 314-318. https://doi.org/10.1016/j.physletb.2013.10.027

**Vacuum structure in a chiral R+Rn modification of pure supergravity.** / Ferrara, Sergio; Kehagias, Alex; Porrati, Massimo.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 727, no. 1-3, pp. 314-318. https://doi.org/10.1016/j.physletb.2013.10.027

}

TY - JOUR

T1 - Vacuum structure in a chiral R+Rn modification of pure supergravity

AU - Ferrara, Sergio

AU - Kehagias, Alex

AU - Porrati, Massimo

PY - 2013/11/25

Y1 - 2013/11/25

N2 - We discuss an R+Rn class of modified N=1, D=4 supergravity models where the deformation is a monomial Rn|F in the chiral scalar curvature multiplet R of the "old minimal" auxiliary field formulation. The scalaron and goldstino multiplets are dual to each other in this theory. Since one of them is not dynamical, this theory, as recently shown, cannot be used as the supersymmetric completion of R+Rn gravity. This is confirmed by investigating the scalar potential and its critical points in the dual standard supergravity formulation with a single chiral multiplet with specific Kähler potential and superpotential. We study the vacuum structure of this dual theory and we find that there is always a supersymmetric Minkowski critical point which however is pathological for n≥3 as it corresponds to a corner (n=3) and a cusp (n>3) point of the potential. For n>3 an anti-de Sitter regular supersymmetric vacuum emerges. As a result, this class of models are not appropriate to describe inflation. We also find the mass spectrum and we provide a general formula for the masses of the scalars of a chiral multiplet around the anti-de Sitter critical point and their relation to osp(1, 4) unitary representations.

AB - We discuss an R+Rn class of modified N=1, D=4 supergravity models where the deformation is a monomial Rn|F in the chiral scalar curvature multiplet R of the "old minimal" auxiliary field formulation. The scalaron and goldstino multiplets are dual to each other in this theory. Since one of them is not dynamical, this theory, as recently shown, cannot be used as the supersymmetric completion of R+Rn gravity. This is confirmed by investigating the scalar potential and its critical points in the dual standard supergravity formulation with a single chiral multiplet with specific Kähler potential and superpotential. We study the vacuum structure of this dual theory and we find that there is always a supersymmetric Minkowski critical point which however is pathological for n≥3 as it corresponds to a corner (n=3) and a cusp (n>3) point of the potential. For n>3 an anti-de Sitter regular supersymmetric vacuum emerges. As a result, this class of models are not appropriate to describe inflation. We also find the mass spectrum and we provide a general formula for the masses of the scalars of a chiral multiplet around the anti-de Sitter critical point and their relation to osp(1, 4) unitary representations.

UR - http://www.scopus.com/inward/record.url?scp=84887405958&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887405958&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2013.10.027

DO - 10.1016/j.physletb.2013.10.027

M3 - Article

VL - 727

SP - 314

EP - 318

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-3

ER -