Abstract
We embed general f(R) inflationary models in minimal supergravity plus matter, a single chiral superfield Φ, 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.
Highlights
Inflation is the leading cosmological model for the initial stages of the evolution of our Universe
One of the best models for particle physics at higher energies than the ones we currently probe at accelerators involves supersymmetry
We have seen that a generic f (R) model can be written as a Einstein+dynamical scalar model, and reversely any inflationary potential can be written as f (R), and embedded these models in N = 1 supergravity, and considered the inflationary constraints on them
Summary
Inflation is the leading cosmological model for the initial stages of the evolution of our Universe. In this paper we are interested in the embedding in minimal supergravity plus matter of Jordan frame Einstein+scalar models, which can be written as Einstein+scalar with a potential. One such class of models are the f (R) models. We will consider another class of Jordan frame Einstein+scalar models that goes under the name of conformal inflation These are models with two scalar fields and local Weyl symmetry, found in [13,14], following earlier work by [15,16,17,18,19,20].
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