Leptonic $CP$ Violation and Leptogenesis in Minimal Supersymmetric
  SU(4)$_c \times$SU(2)$_L \times$SU(2)$_R$
  We consider a supersymmetric SU(4)$_c \times$SU(2)$_L \times$SU(2)$_R$ model
with a minimal number of Higgs multiplets and Dirac and Majorana $CP$-violating
phases in the neutrino flavor mixing matrix. The model incorporates the charged
fermion masses and quark mixings, and uses type I seesaw to explain the solar
and atmospheric neutrino oscillations. With the neutrino oscillation data of
two mass squared differences and three flavor mixing angles, we employ thermal
leptogenesis and the observed baryon asymmetry to find the allowed regions for
the Dirac and Majorana phases. For a normal neutrino mass hierarchy, we find
that the observed baryon asymmetry can be reproduced by a Dirac phase of around
$\delta_{CP}=3 \pi/2$, which is strongly indicated by the recent T2K and
NO$\nu$A data. For the case of inverted neutrino mass hierarchy, the predicted
baryon asymmetry is not compatible with the observed value.
