Braneworld Inflation in Supergravity with a Shift Symmetric Kähler Potential

Abstract

We propose a new solution to the η-problem in supergravity using a shift symmetric Kahler potential in the context of the Randall–Sundrum type II model. We focus on a F-term supergravity inflation with a minimal Kahler potential taking into account the radiative corrections. The slow-roll conditions are ensured by the shift symmetry where a very small value of η(η≪1) is obtained. In this context, we derive all known spectrum inflationary parameters which are widely consistent with Planck 2015 data for a particular choice of brane tension and coupling constant values. A suitable observational central value of ns=0.96 is also obtained in the case of minimal Kahler potential.