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Decoupling and de Sitter Vacua in Approximate No-Scale Supergravities · Around

2014

Decoupling and de Sitter Vacua in Approximate No-Scale Supergravities

Marsh, M. C. David, Vercnocke, Bert, Wrase, Timm

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We study ${\cal N}=1$ supergravity with $N>1$ chiral superfields in which one of the fields has a K\"ahler potential of exact no-scale type.

Such systems admit de Sitter (dS) solutions in which supersymmetry is predominantly broken by the no-scale field, with only a small contribution to the breaking coming from the other fields.
Metastable dS vacua of this type were recently shown to be achievable by the finetuning of an $N\times N$ sub-matrix of the Hessian matrix at the critical point.
We show that perturbatively small deformations of the no-scale Minkowski vacuum into dS are only possible when the spectrum of the no-scale vacuum, besides the no-scale field, contain an additional massless mode.

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