Linear Inflation from Running Kinetic Term in Supergravity

TL;DR

This paper introduces a novel inflation model in supergravity where the inflaton's kinetic term varies rapidly with energy, enabling new inflationary dynamics and potential forms post-inflation.

Contribution

It presents a new class of inflation models with running kinetic terms, including a concrete linear inflation example in supergravity and potential for fractional power models.

Findings

Constructed a linear inflation model in supergravity.

Demonstrated the kinetic term's rapid energy-scale dependence.

Showed the potential's form changes after inflation due to the running kinetic term.

Abstract

We propose a class of inflation models in which the coefficient of the inflaton kinetic term rapidly changes with energy scale. This may occur especially if the inflaton moves over a long distance during inflation as in the case of large-scale inflation. The peculiar behavior of the kinetic term opens up a new way to construct an inflation model. As a concrete example we construct a linear inflation model in supergravity. It is straightforward to build a chaotic inflation model with a fractional power along the same line. Interestingly, the potential takes a different form after inflation because of the running kinetic term.