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

We embed general f(R)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.