Endlessly flat scalar potentials and αα-attractors

preprint2016arXivOpen access

Abstract

We consider a minimally-coupled inflationary theory with a general scalar potential V(f(φ))=V(ξ∑k=1nλkφk)V(f(φ))= V(ξ\sum_{k=1}^{n}λ_k φ^k) containing a stationary point of maximal order mm. We show that asymptotically flat potentials can be associated to stationary points of infinite order and discuss the relation of our approach to the theory of αα-attractors.

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