Gravitational waves in $\alpha -$attractors

Abstract

We study inflation in the $\alpha -$attractor model under a non-slow-roll dynamics with an ansatz proposed by Gong \& Sasaki \cite{Gong:2015ypa} of assuming $N=N\left(\varphi \right)$. Under this approach, we construct a class of local shapes of inflaton potential that are different from the T-models. We find this type of inflationary scenario predicts an attractor at $n_s\sim 0.967$ and $r\sim 0.00055$. In our approach, the non-slow-roll inflaton dynamics are related to the $\alpha -$parameter which is the curvature of Kähler geometry in the SUGRA embedding of this model.

6 pages, 2 figures. Contribution to the proceedings of "The Fourtheenth Marcel Grossmann Meeting on General Relativity", University of Rome "La Sapienza", Rome, July 12-18, 2015, based on a talk delivered at the ST4 parallel session

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• The Standard Model Higgs boson as the inflaton
• The Unity of Cosmological Attractors
• A new parameter in attractor single-field inflation