Endlessly flat scalar potentials and $\hat{I}\pm$-attractors

Abstract

We consider a minimally-coupled inflationary theory with a general scalar potential $V(f(\ddot{I}†))=V(\hat{I}¾{\sum }_{k=1}^n\hat{I}{»}_k\ddot{I}{†}^k)$ containing a stationary point of maximal order $m$. 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 $\hat{I}\pm$-attractors.

8 pages, 2 figures