  We study a primordial black hole (PBH) formation scenario based on the
Affleck-Dine (AD) mechanism and investigate two PBH mass regions: $M \sim 30
M_\odot$ motivated by the LIGO-Virgo observations of the binary black hole
mergers and $M \gtrsim 10^4 M_\odot$ motivated by the observations of
supermassive black holes at the center of galaxies. In the previous studies, it
has been considered that the inhomogeneous AD baryogenesis generates regions
with a large baryon asymmetry, some of which collapse into PBHs. In this paper,
we show that this scenario is severely constrained due to the baryon asymmetry
remaining outside PBHs, which would spoil the success of the big bang
nucleosynthesis. Then, we propose an alternative scenario where the AD
leptogenesis results in the inhomogeneous formation of Q-balls with lepton
charges, which collapse into PBHs. As a result, we find that our scenario can
explain the favorable PBH abundance without conflicting with the observational
constraints.
