Abstract

We consider Supersymmetric ( SUSY ) and non-SUSY models of chaotic inflation based on the \phi ^ { n } potential with n = 2 or 4 .
We show that the coexistence of an exponential non-minimal coupling to gravity f _ { \cal R } = e ^ { c _ { \cal R } \phi ^ { p } } with a kinetic mixing of the form f _ { K } = c _ { K } f _ { \cal R } ^ { m } can accommodate inflationary observables favored by the Planck and Bicep2 / Keck Array results for p = 1 and 2 , 1 \leq m \leq 15 and 2.6 \cdot 10 ^ { -3 } \leq r _ { \mathcal { R } K } = c _ { \cal R } / c _ { K } ^ { p / 2 } \leq 1 , where the upper limit is not imposed for p = 1 .
Inflation is of hilltop type and it can be attained for subplanckian inflaton values with the corresponding effective theories retaining the perturbative unitarity up to the Planck scale .
The supergravity embedding of these models is achieved employing two chiral gauge singlet supefields , a monomial superpotential and several ( semi ) logarithmic or semipolynomial Kähler potentials . PACS codes : 98.80.Cq , 11.30.Qc , 12.60.Jv , 04.65.+e Keywords : Cosmology , Supersymmetric models , Supergravity