Pole inflation in Jordan frame supergravity

TL;DR

This paper explores pole inflation within Jordan frame supergravity, constructing models with flat potentials by imposing canonical kinetic terms and analyzing their relation to Einstein frame models, including a unique model by Ferrara et al.

Contribution

It introduces a method to build inflation models with asymptotically flat potentials in Jordan frame supergravity, relaxing previous symmetry constraints and clarifying the relation to Einstein frame models.

Findings

Constructed inflation models with flat potentials using pole inflation technique.

Identified the unique position of Ferrara et al.'s model within this framework.

Clarified the relation between Kähler potential and frame function under specific conditions.

Abstract

We investigate inflation models in Jordan frame supergravity, in which an inflaton non-minimally couples to the scalar curvature. By imposing the condition that an inflaton would have the canonical kinetic term in the Jordan frame, we construct inflation models with asymptotically flat potential through pole inflation technique and discuss their relation to the models based on Einstein frame supergravity. We also show that the model proposed by Ferrara et al. has special position and the relation between the K\"ahler potential and the frame function is uniquely determined by requiring that scalars take the canonical kinetic terms in the Jordan frame and that a frame function consists only of a holomorphic term (and its anti-holomorphic counterpart) for symmetry breaking terms. Our case corresponds to relaxing the latter condition.