Primordial Black Holes from Volkov–Akulov–Starobinsky Supergravity

We study the formation of primordial black holes (PBH) in Starobinsky supergravity coupled to nilpotent superfield describing Volkov–Akulov goldstino. By using no-scale Kähler potential and a polynomial superpotential, we find that under certain conditions our model can describe effectively single-field inflation with ultra-slow-roll phase appears near critical (near-inflection) point scalar potential. This lead PBH as part (or whole) dark matter, while keeping inflationary spectral tilt tensor-to-scalar ratio good agreement current cosmic microwave background (CMB) bounds. After inflation, supersymmetry is spontaneously broken at scale vanishing cosmological constant.