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We propose a novel model of the modified (Starobinsky-like) old-minimal-typesupergravity coupled to a chiral matter superfield, that can {\itsimultaneously} describe multi-field inflation, primordial black hole (PBH)formation, dark matter (DM), and spontaneous supersymmetry (SUSY) breakingafter inflation in a Minkowski vacuum. The PBH masses in our supergravity modelof double slow-roll inflation, with a short phase of "ultra-slow-roll" betweentwo slow-roll phases, are close to $10^{18}$ g. We find that a significant PBHfraction in the allowed mass window can be supplemented by spontaneous SUSYbreaking in the vacuum with the gravitino mass close to the scalaron (inflaton)mass M of the order $10^{13}$ GeV. Our supergravity model favors the {\itcomposite} nature of DM as a mixture of PBH and heavy gravitinos as thelightest SUSY particles. The composite DM significantly relaxes fine-tuningneeded for the whole PBH-DM. The PBH-DM fraction is derived, and thesecond-order gravitational wave background induced by the enhanced scalarperturbations is calculated. Those gravitational waves may be accessible by thefuture space-based gravitational interferometers.

Inflation, SUSY breaking, and primordial black holes in modified supergravity coupled to chiral matter