It is shown that for supersymmetry to be manifest at nonzero temperatures, the thermal averages of all the auxiliary fields must vanish. It therefore follows that broken supersymmetry at zero temperature is never restored. But supersymmetry that is manifest at zero temperature may or may not be broken at nonzero temperatures. Several illustrative examples are considered.

• Received 18 November 1985

DOI:https://doi.org/10.1103/PhysRevD.33.2481