A new zero energy mode in supersymmetry at finite temperature

It is pointed out that, in supersymmetry at finite temperature, the usual condition of the spontaneous breakdown of symmetry (i.e. the non-vanishing thermal average of a certain field in a multiplet) does not necessarily lead to the existence of a massless fermion. The particle-thermal hole pair of opposite statistics can replace the long range correlation of the Goldstone mode. (orig.)