  We discuss the emergence of an inflationary phase in supergravity with the
super-Higgs effect due to dynamical spontaneous breaking of supersymmetry, in
which the role of the inflaton is played by the gravitino condensate. Realistic
models compatible with the Planck satellite CMB data are found in conformal
supergravity scenarios with dynamical gravitino masses that are small compared
to the Planck mass, as could be induced by a non-trivial vacuum expectation
value of the dilaton superfield of appropriate magnitude.
