  We discuss an extension of the instanton-dyon liquid model that includes
light quarks at finite chemical potential in the center symmetric phase. We
develop the model in details for the case of SU_c(2)\times SU_f(2) by mapping
the theory on a 3-dimensional quantum effective theory. We analyze the
different phases in the mean-field approximation. We extend this analysis to
the general case of SU_c(N_c)\times SU_f(N_f) and note that the chiral and
diquark pairings are always comparable.
