In this paper, we study the influence of hard-supersymmetry-breaking terms in an N = 1, d = 4 supersymmetric model, with S1 × R3 space–time topology. It is found that for some interaction terms and for certain values of the couplings, supersymmetry is unbroken for small lengths of the compact radius and spontaneously breaks as the radius increases. Also, for another class of interaction terms, when the radius is large, supersymmetry is unbroken and spontaneously breaks as the radius decreases. It is pointed out that the two phenomena have similarities to the theory of metastable vacua at finite temperature, as well as to the inverse symmetry breaking of continuous symmetries at finite temperature (where the role of the temperature is played by the radius of the compact dimension).
Symmetry breaking in ideal magnetohydrodynamics: the role of the velocity
