Abundance of primordial black holes with local non-Gaussianity in peak
  theory
  We discuss the effect of local type non-Gaussianity on the abundance of
primordial black holes (PBH) based on the peak theory. We provide the PBH
formation criterion based on the so-called compaction function and use the peak
theory statistics associated with the curvature perturbation with the local
type non-Gaussianity. Providing a method to estimate the PBH abundance, we
demonstrate the effects of non-Gaussianity. It is explicitly shown that the
value of non-linear parameter $|f_{\rm NL}| \sim 1$ induces a similar effect to
a few factors of difference in the amplitude of the power spectrum.
