  We revisit the Affleck-Dine leptogenesis via the $L H_u$ flat direction with
a light slepton field. Although the light slepton field is favored in
low-energy SUSY phenomenologies, such as the muon $g-2$ anomaly and
bino-slepton coannihilation, it may cause a problem in the Affleck-Dine
leptogenesis: it may create an unwanted charge-breaking vacuum in the
Affleck-Dine field potential so that the Affleck-Dine field is trapped during
the course of leptogenesis. We investigate the conditions under which such an
unwanted vacuum exists and clarify that both thermal and quantum corrections
are important for the (temporal) disappearance of the charge-breaking minimum.
We also confirm that if the charge-breaking vacuum disappears due to the
thermal or quantum correction, the correct baryon asymmetry can be produced
while avoiding the cosmological gravitino problem.
