Does the first chaotic inflation model in supergravity provide the best fit to the Planck data?

Abstract

I describe the first model of chaotic inflation in supergravity, which was proposed by Goncharov and the present author in 1983. The inflaton potential of this model has a plateau-type behavior V0 (1− 8/3 e−√ 6 |ϕ|) at large values of the inflaton field. This model predicts ns = 1−2/N ≈ 0.967 and r = 4/3N2 ≈ 4 × 10−4, in good agreement with the Planck data. I propose a slight generalization of this model, which allows to describe not only inflation but also dark energy and supersymmetry breaking.