  We propose a four-dimensional N = 1 supergravity-based Starobinsky-type
inflationary model in terms of a single massive vector multiplet, whose action
includes the Dirac-Born-Infeld-type kinetic terms and a generalized (new)
Fayet-Iliopolulos-type term without gauging the R-symmetry. The bosonic action
and the scalar potential are computed. Inflaton is the superpartner of
goldstino in our model, and supersymmetry is spontaneously broken after
inflation by the D-type mechanism, whose scale is related to the value of the
cosmological constant.
