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. 
Renata Kallosh and Andrei Linde
hep-th astro-ph.CO gr-qc hep-ph