Non-minimal Inflationary Attractors

Recently we identified a new class of (super)conformally invariant theories which allow inflation even if the scalar potential is very steep in terms of the original conformal variables. Observational predictions of a broad class of such theories are nearly model-independent. In this paper we consider generalized versions of these models where the inflaton has a non-minimal coupling to gravity with \xi <0 different from its conformal value \xi = -1/6. We show that these models exhibit attractor behavior. With even a slight increase of |\xi| from |\xi| = 0, predictions of these models for n_s and r rapidly converge to their universal model-independent values corresponding to conformal coupling \xi = -1/6. These values of n_s and r practically coincide with the corresponding values in the limit of infinitely large negative \xi.