Cosmological Attractors and Asymptotic Freedom of the Inflaton Field
  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.
