  We investigate detailed properties of imaginary rotating matter with gluons
and quarks at high temperature. Previously, we showed that imaginary rotation
induces perturbative confinement of gluons at the rotation center. We
perturbatively calculate the Polyakov loop potential and find inhomogeneous
confinement above a certain threshold of imaginary angular velocity. We also
evaluate the quark contribution to the Polyakov loop potential and confirm that
spontaneous chiral symmetry breaking occurs in the perturbatively confined
phase.
