Models of Non-Minimal Chaotic Inflation in Supergravity
  We show how we can implement chaotic inflation in the context of supergravity
by conveniently selecting the functional form of a strong enough non-minimal
coupling between the inflaton and the Ricci scalar curvature. The procedure can
be applied when a gauge singlet or non-singlet inflaton is coupled to another
singlet superfield within linear-quadratic, trilinear or bilinear
superpotential terms. The tachyonic instability occurring along the direction
of the accompanying non-inflaton field can be cured by expanding the kinetic
part of the frame function up to the fourth order in powers of the various
fields. In the case of a gauge non-singlet inflaton, though, a conjugation
symmetry has to be imposed on these terms in order for the flatness of the
inflationary potential is maintained. On the other hand, some of these terms
assist us to precisely reconcile the resulting scalar spectral index with the
current PLANCK measurements while the other inflationary observables are in
agreement with data.
