  We investigate inhomogeneous chiral condensation under rotation considering
finite size effects and boundary conditions in the holographic QCD model. The
rotational suppression effect determined by $\Omega r$ is confirmed in the
holographic model which is not influenced by the boundary conditions. For
chiral condensation at the center, it is found that under Neumann boundary
condition the finite size exhibits two opposite effects, i.e., catalysis at
high temperatures and inverse catalysis at low temperatures. In contrast, under
Dirichlet boundary condition, the effect of finite size on condensation is
inverse catalysis, and small size induces a phase transition from inhomogeneous
to homogeneous phase. The temperature-angular velocity phase diagrams of QCD
are obtained for different boundary conditions and sizes, and it is found that
the critical temperature decreases with angular velocity.

High Energy Physics - Phenomenology