Inflation in supergravity
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Inflation in supergravity book
In order for new inflation (slow-roll inflation) to produce sufficient e-folds of inflation, it is necessary for the effective potential for the inflaton to be very flat near the point where slow roll begins. In general, even if the tree-level potential has this property, this flatness may be lost once radiative corrections are included. For this reason, it is advantageous in constructing models of inflation to employ a supersynunetric theory where cancellations of radiative corrections are enforced by supersyrrunetry. If we want a supersynunetric theory that contains gravity, the natural approach, as discussed in section 2.8, is to construct a locally supersytnmetric theory (supergravity). Once a superpotential and a Kähler potential have been chosen for the inflaton field, the Lagrangian terms and the effective potential for the inflaton follow.