Inflation from Supersymmetry Breaking

Abstract

We explore the possibility that inflation is driven by supersymmetry breaking with the superpartner of the goldstino (sgoldstino) playing the role of the inflaton. Moreover, we impose an R-symmetry that allows to satisfy easily the slow-roll conditions, avoiding the so-called $\eta$-problem, and leads to two different classes of small field inflation models; they are characterised by an inflationary plateau around the maximum of the scalar potential, where R-symmetry is either restored or spontaneously broken, with the inflaton rolling down to a minimum describing the present phase of our Universe. To avoid the Goldstone boson and remain with a single (real) scalar field (the inflaton), R-symmetry is gauged with the corresponding gauge boson becoming massive. This framework generalises a model studied recently by the present authors, with the inflaton identified by the string dilaton and R-symmetry together with supersymmetry restored at weak coupling, at infinity of the dilaton potential. The presence of the D-term allows a tuning of the vacuum energy at the minimum. The proposed models agree with cosmological observations and predict a tensor-to-scalar ratio of primordial perturbations $10^{-9}\lesssim r\lesssim 10^{-4}$ and an inflation scale $10^{10}$ GeV $\lesssim H_{\ast }\lesssim 10^{12}$ GeV. $H_{\ast }$ may be lowered up to electroweak energies only at the expense of fine-tuning the scalar potential.

29 pages, 8 figures

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• A microscopic model for inflation from supersymmetry breaking
• New Kähler invariant Fayet-Iliopoulos terms in supergravity and cosmological applications
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• $\alpha$-attractors from supersymmetry breaking
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• Aspects of gauged R-symmetry in SU(1,1)/U(1) supergravity
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• New leading contributions to non-gaussianity in single field inflation