Non-slow-roll dynamics in α-attractors
Abstract
In this paper we consider the α-attractor model and study inflation under a non-slow-roll dynamics. More precisely, we follow the approach recently proposed by Gong and Sasaki Gong:2015ypa by means of assuming N=N(φ). Within this framework we obtain a family of functions describing the local shape of the potential during inflation. We study a specific model and find an inflationary scenario predicting an attractor at ns≈0.967 and r≈5.5×10-4. We further show that considering a non-slow-roll dynamics, the α-attractor model can be broaden to a wider class of models that remain compatible with value of r<0.1. We further explore the model parameter space with respect to large and small field inflation and conclude that the inflaton dynamics is connected to the α- parameter, which is also related to the K\"ahler manifold curvature in the supergravity (SUGRA) embedding of this model. We also comment on the stabilization of the inflaton's trajectory.