Gravitational waves in $\alpha-$attractors

TL;DR

This paper explores non-slow-roll inflation within $ ext{alpha}$-attractor models, proposing new local potential shapes and predicting specific spectral index and tensor-to-scalar ratio values linked to the model's geometric parameter.

Contribution

It introduces a novel non-slow-roll inflationary scenario in $ ext{alpha}$-attractors with unique potential shapes, connecting inflaton dynamics to the geometric curvature parameter.

Findings

Predicts $n_s o 0.967$ and $r o 0.00055$ for the model.

Establishes a link between inflaton dynamics and Kähler geometry curvature.

Proposes new local inflaton potential shapes different from T-models.

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 $N=N\left(\phi\right)$. 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 $n_{s}\sim0.967$ and $r\sim0.00055$. In our approach, the non-slow-roll inflaton dynamics are related to the $\alpha-$parameter which is the curvature of K\"ahler geometry in the SUGRA embedding of this model.