TY - JOUR

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

AU - Ferrara, Sergio

AU - Kehagias, Alex

AU - Porrati, Massimo

N1 - Funding Information:
We would like to thank R. Kallosh, A. Linde and A. van Proeyen for enlightening discussions on the subject of this investigation. This research was implemented under the ARISTEIA Action of the Operational Programme Education and Lifelong Learning and is co-funded by the European Social Fund (ESF) and National Resources. It is partially supported by European Unionʼs Seventh Framework Programme ( FP7/2007-2013 ) under REA grant agreement No. 329083 . S.F. is supported by ERC Advanced Investigator Grant No. 226455 Supersymmetry, Quantum Gravity and Gauge Fields (Superfields). M.P. is supported in part by NSF grants PHY-0758032 and PHY-1316452 .

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

AN - SCOPUS:84887405958

SN - 0370-2693

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

IS - 1-3

ER -