Kinetically modified non-minimal inflation with exponential frame function

Abstract

We consider supersymmetric (SUSY) and non-SUSY models of chaotic inflation based on the φ n potential with n = 2 or 4. We show that the coexistence of an exponential non-minimal coupling to gravity f R = e c R φ p with a kinetic mixing of the form f K = c K f m R can accommodate inflationary observables favored by the Planck and Bicep2/Keck Array results for p = 1 and 2, 1 ≤ m ≤ 15 and 2.6 × 10 −3 ≤ r RK = c R /c p/2 K ≤ 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 semi-polynomial Kähler potentials.

Starobinsky Inflation: From Non-SUSY to SUGRA Realizations

“…It is worth emphasizing that the -stabilization mechanisms proposed in this paper can be also employed in other models of ordinary [47][48][49] or kinetically modified [65][66][67] nonminimal chaotic (and Higgs) inflation driven by a gauge singlet [47-49, 53, 54, 65-67] ). Obviously, the last case can be employed for logarithmic or polynomial 's with regard to the inflation terms.…”

“…Indeed, when parameterizes the (2, 1)/( (2) × (1)) Kähler manifold [20,21], the inflationary trajectory turns out to be unstable with respect to the fluctuations of . This difficulty can be overcome by adding a sufficiently large term | | 4 , with > 0 and | | ∼ 1, in the logarithmic function appearing in , as suggested in [64] for models of nonminimal (chaotic) inflation [47][48][49] and applied in [50][51][52][53][54][65][66][67][68][69][70]. This solution, however, deforms slightly the Kähler manifold [71].…”