Starobinsky inflation from new-minimal supergravity
Fotis FarakosInstitute for Theoretical Physics, Masaryk University, 611 37 Brno, Czech Republic E-mail: fotisf@mail.muni.cz
Abstract.In the new-minimal supergravity formulation we present the embedding of the R + R 2 Starobinsky model of inflation. Starting from the superspace action we perform the projection to component fields and identify the Starobinsky model in the bosonic sector. Since there exist no other scalar fields, this is by construction a single field model. This higher curvature supergravity also gives rise to a propagating massive vector. Finally we comment on the issues of higher order corrections and initial conditions.
Introduction and discussionThe Planck collaboration's constraints on inflation [1, 2] have restricted the inflationary models to those which are characterized by a plateau potential for the inflaton field. More specifically, if the perturbations during inflation [3] are originated by the same field driving inflation, these restrictions can be quantified by the following constraints on the spectral index: n s = 0.9655 ± 0.0062 and the tensor-to-scalar ratio: r < 0.12. A model which lies in the heart of the data is the pure gravitational Starobinsky model [4]