MG14 - Talk detail

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We consider the $\alpha-$attractor model and study inflation under a generalization of slow-roll dynamics. We follow the recently proposed Gong \& Sasaki approach \cite{Gong:2015ypa} of assuming $N=N\left(\phi\right)$. This approach allows an inflaton potential sufficiently steep to support 60-efoldings during inflation. We find this type of inflationary scenario predicts $n_{s}\approx0.967$ and $r\approx5.5\times10^{-4}$, which are very close to the predictions of the first chaotic inflationary model in supergravity (Goncharov-Linde model) \cite{Goncharov:1983mw}. In addition, we emphasize that in this particular inflationary scenario, the standard consistency relation $\left(r\simeq-8n_{t}\right)$ is significantly violated and then predict tensor tilt $n_{t}\approx-0.034$ which serves as an observational test for future missions.

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We consider the α−attractor model and study inflation under a generalization of slow- roll dynamics. We follow the recently proposed Gong & Sasaki approach \cite{Gong:2015ypa} of assuming N = N (φ). This approach allows an inflaton potential sufficiently steep to support 60- efoldings during inflation. We find this type of inflationary scenario predicts ns ≈ 0.967 and r ≈ 5.5×10−4 , which are very close to the predictions of the first chaotic inflationary model in supergravity (Goncharov-Linde model) \cite{Goncharov:1983mw}. In addition, we emphasize that in this particular inflationary scenario, the standard consistency relation (r −8nt ) is significantly violated and then predict tensor tilt nt ≈ −0.034 which serves as an observational test for future missions.

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Accepted

Yes

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Time

Talk

Title

Abstract

In this paper we consider the $\alpha-$ attractor model and study inflation under a generalization of slow-roll dynamics. We follow the recently proposed Gong \& Sasaki approach \cite{Gong:2015ypa} of assuming N=N(\phi). We relax the requirement of inflaton potential flatness and consider a sufficiently steep one to support 60-efoldings. We find that this type of inflationary scenario predicts an attractor at n_{s}~0.967 and r~5.5×10^{-4} which are very close to the predictions of the first chaotic inflationary model in supergravity (Goncharov-Linde model) \cite{Goncharov:1983mw}. We show that even with non-slow-roll dynamics, the &#945;&#8722;attractor model is compatible with any value of r<0.1. In addition, we emphasize that in this particular inflationary scenario, the standard consistency relation (r~&#8722;8n_{t}) is significantly violated and we find an attractor for tensor tilt at nt&#8776;&#8722;0.034 as r&#8594;0. Any prominent detection of the tilt of gravitational waves from future observations can test this non-slow-roll inflationary scenario for &#945;&#8722;attractors. In addition, we also comment on the stabilization of the inflaton's trajectory in the supergravity embedding of this model.

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