Cosmological Attractors and Asymptotic Freedom of the Inflaton Field

Abstract

We show that the inflaton coupling to all other fields is exponentially suppressed during inflation in the cosmological $\alpha$-attractor models. In the context of supergravity, this feature is a consequence of the underlying hyperbolic geometry of the moduli space which has a flat direction corresponding to the inflaton field. A combination of these factors protects the asymptotic flatness of the inflaton potential.

arXiv comment10 pages, references added, the version to be published in JCAP

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