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

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.

16 pages, no figures; typos corrected, references added

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Cited by in corpus (5)

• Holographic dark energy from minimal supergravity
• Effective models of inflation from a non-local framework
• On SUSY Restoration in Single-Superfield Inflationary Models of Supergravity
• Inflation in Supergravity with a Single Superfield
• Small field inflation in $\mathcal{N}=1$ supergravity with a single chiral superfield