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Polonyi–Starobinsky supergravity with inflaton in a massive vector multiplet with DBI and FI terms

Polonyi–Starobinsky supergravity with inflaton in a massive vector multiplet with DBI and FI terms

We propose the Starobinsky-type inflationary model in the matter-coupled $N=1$ four-dimensional supergravity with the massive vector multiplet that has inflaton (scalaron) and goldstino amongst its field components, whose action includes the Dirac-Born-Infeld-type kinetic term and the generalized (new) Fayet-Iliopoulos-type term, without gauging the R-symmetry. The $N=1$ chiral matter ("hidden sector") …