Inflation in $R^2$ supergravity with non-minimal superpotentials

Abstract

We investigate the cosmological inflation in a class of supergravity models that are generalizations of non-supersymmetric $R^2$ models. Although such models have been extensively studied recently, especially after the launch of the PLANCK and BICEP2 data, the class of models that can be constructed has not been exhausted. In this note, working in a supergravity model that is a generalization of Cecotti's model, we show that the appearance of new superpotential terms, which are quadratic in the superfield $\Lambda$ that couples to the Ricci supermultiplet, alters substantially the form of the scalar potential. The arising potential has the form of the Starobinsky potential times a factor that is exponential in the inflaton field and dominates for large inflaton values. We show that the well-known Starobinsky inflation scenario is maintained only for unnaturally small fine-tuned values of the coupling describing the ${\Lambda }^2$ superpotential terms. A welcome feature is the possible increase of the tensor to scalar ratio $r$, within the limits set by the new Planck and BICEP2 data.

arXiv comment13 pages, 9 figures, text and references added, version submitted to Phys. Lett. B

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Cited by in corpus (10)

• Aspects of Quadratic Gravity
• Keeping the relation between the Starobinsky model and no-scale supergravity ACTive
• The simplest extension of Starobinsky inflation
• Power law Starobinsky model of inflation from no-scale SUGRA
• Non-linear Realizations and Higher Curvature Supergravity
• Deforming the Starobinsky model in ghost-free higher derivative supergravities
• Probing the BSM physics with CMB precision cosmology: an application to supersymmetry
• Testing theories of Gravity and Supergravity with inflation and observations of the cosmic microwave background
• Black Hole Solutions in $R^2$ Gravity
• Gravitino condensation, supersymmetry breaking and inflation