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arXiv · hep-th/9701005

Spontaneous Collapse of Supersymmetry

Detlev Buchholz·Izumi Ojima
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Abstract

It is shown that, if generators of supersymmetry transformations (supercharges) can be defined in a spatially homogeneous physical state, then this state describes the vacuum. Thus, supersymmetry is broken in any thermal state and it is impossible to proceed from it by ``symmetrization'' to states on which an action of supercharges can be defined. So, unlike the familiar spontaneous breakdown of bosonic symmetries, there is a complete collapse of supersymmetry in thermal states. It is also shown that spatially homogeneous superthermal ensembles are never supersymmetric.

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Detlev Buchholz, Izumi Ojima. 1997-01-16. Spontaneous Collapse of Supersymmetry. https://doi.org/10.1016/s0550-3213(97)00274-5

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