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arXiv · 1309.1085

Higher Order Corrections in Minimal Supergravity Models of Inflation

Sergio Ferrara·Renata Kallosh·Andrei Linde·Massimo Porrati
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Abstract

We study higher order corrections in new minimal supergravity models of a single scalar field inflation. The gauging in these models leads to a massive vector multiplet and the D-term potential for the inflaton field with a coupling g^{2} ~ 10^{-10}. In the de-Higgsed phase with vanishing g^2, the chiral and vector multiplets are non-interacting, and the potential vanishes. We present generic manifestly supersymmetric higher order corrections for these models. In particular, for a supersymmetric gravity model -R+ R^2 we derive manifestly supersymmetric corrections corresponding to R^n. The dual version corresponds to a standard supergravity model with a single scalar and a massive vector. It includes, in addition, higher Maxwell curvature/scalar interaction terms of the Born-Infeld type and a modified D-term scalar field potential. We use the dual version of the model to argue that higher order corrections do not affect the last 60 e-foldings of inflation; for example the ξR^4 correction is irrelevant as long as ξ< 10^{24}.

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Sergio Ferrara, Renata Kallosh, Andrei Linde, Massimo Porrati. 2013-11-08. Higher Order Corrections in Minimal Supergravity Models of Inflation. https://doi.org/10.1088/1475-7516%2F2013%2F11%2F046

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