Axion inflation with gauge field production and primordial black holes
  We study the process of primordial black hole (PBH) formation at the
beginning of radiation era for the cosmological scenario in which the inflaton
is a pseudo-Nambu-Goldstone boson (axion) and there is a coupling of the
inflaton with some gauge field. In this model inflation is accompanied by the
gauge quanta production and a strong rise of the curvature power spectrum
amplitude at small scales (along with non-Gaussianity) is predicted. We show
that data on PBH searches can be used for a derivation of essential constraints
on the model parameters in such an axion inflation scenario. We compare our
numerical results with the similar results published earlier, in the work by
Linde et al.
