General $f(R)$ and conformal inflation from minimal supergravity plus matter

TL;DR

This paper embeds general $f(R)$ and conformal inflation models within minimal supergravity frameworks, analyzing their inflationary constraints and extending the models to include matter fields and specific cases like the Higgs model.

Contribution

It introduces a unified supergravity embedding for $f(R)$ and conformal inflation models, including the Higgs inflation, with detailed analysis of inflationary constraints.

Findings

General $f(R)$ inflation models embedded in supergravity.

Constraints on inflationary parameters derived.

Extension to Higgs and conformal inflation models.

Abstract

We embed general $f(R)$ inflationary models in minimal supergravity plus matter, a single chiral superfield $\Phi$, with or without another superfield $S$, via a Jordan frame Einstein+scalar description. In particular, inflationary models like a generalized Starobinsky one are analyzed and constraints on them are found. We also embed the related models of conformal inflation, also described as Jordan frame Einstein+scalar models, in particular the conformal inflation from the Higgs model, and analyze the inflationary constraints on them.