  We study a meta-stable supersymmetry-breaking vacuum in a generalized
O'Raifeartaigh model at finite temperature and chemical potentials. Fields in
the generalized O'Raifeartaigh model possess different R-charges to realize
R-symmetry breaking. Accordingly, at finite density and temperature, the
chemical potentials have to be introduced in a non-uniform way. Based on the
formulation elaborated in our previous work we study the one-loop thermal
effective potential including the chemical potentials in the generalized
O'Raifeartaigh model. We perform a numerical analysis and find that the
R-symmetry breaking vacua, which exist at zero temperature and zero chemical
potential, are destabilized for some parameter regions. In addition, we find
that there are parameter regions where new R-symmetry breaking vacua are
realized even at high temperature by the finite density effects.
