Abstract
We consider "new inflation" inflationary models at small fields, embedded in minimal ${\cal N}=1$ supergravity with a single chiral superfield. Imposing a period of inflation compatible with experiment severely restricts possible models, classified in perturbation theory. If moreover we impose that the field goes to large values and very small potential at the current time, like would be needed for instance for the inflaton being the volume modulus in large extra dimensional scenarios, the possible models are restricted to very contrived superpotentials.
Highlights
Standard.1 The case of generalized f (R) inflation was analyzed in [12]
If we impose that the field goes to large values and very small potential at the current time, like would be needed for instance for the inflaton being the volume modulus in large extra dimensional scenarios, the possible models are restricted to very contrived superpotentials
It is of interest to embed it in minimal supergravity plus a single chiral superfield, but that is quite difficult
Summary
Where a and b are real, and we put both a and b terms since we fixed the inflaton to be imaginary part of Φ, but both real and imaginary parts could appear in principle inside the log This is a very important example, since for instance the Kahler potential for the volume modulus in supergravity compactifications has this logarithmic form. Note that we have a single variable, the holomorphic variable Φ, so the leading term is multiplied with a generic Taylor expansion in Φ, n≥0 cnΦn. Before we start this analysis we will say a few words about possible field and function redefinitions
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