General Analysis of Inflation in the Jordan frame Supergravity

TL;DR

This paper explores various inflation models within Jordan frame supergravity, revealing conditions for different inflation types and the realization of fractional-power potentials, with implications for Higgs inflation.

Contribution

It introduces a unified analysis of multiple inflation models in Jordan frame supergravity, highlighting the roles of holomorphic functions and kinetic terms in model realization.

Findings

Three inflation types can be realized: Higgs-type, power-law, and chaotic.

Fractional-power potential achieved via running kinetic term.

Conditions for inflation types depend on dominance of holomorphic functions.

Abstract

We study various inflation models in the Jordan frame supergravity with a logarithmic Kahler potential. We find that, in a class of inflation models containing an additional singlet in the superpotential, three types of inflation can be realized: the Higgs-type inflation, power-law inflation, and chaotic inflation with/without a running kinetic term. The former two are possible if the holomorphic function dominates over the non-holomorphic one in the frame function, while the chaotic inflation occurs when both are comparable. Interestingly, the fractional-power potential can be realized by the running kinetic term. We also discuss the implication for the Higgs inflation in supergravity.