Affleck-Dine baryogenesis after $D$-term inflation and solutions to the baryon-dark matter coincidence problem

We investigate the Affleck-Dine baryogenesis after $D$-term inflation with a positive Hubble-induced mass term for a $B-L$ flat direction. It stays at a large field value during $D$-term inflation, and just after inflation ends it starts to oscillate around the origin of the potential due to the positive Hubble-induced mass term. The phase direction is kicked by higher-dimensional Kähler potentials to generate the $B-L$ asymmetry. The scenario predicts nonzero baryonic isocurvature perturbations, which would be detected by future observations of CMB fluctuations. We also provide a $D$-term inflation model which naturally explains the coincidence of the energy density of baryon and dark matter.