On the Implementation of Supersymmetry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 9 pages, prose improved, typos corrected

Scientific paper

The implementation of supersymmetry transformations by Hilbert space
operators is discussed in the framework of supersymmetric C$^*$--dynamical
systems. It is shown that the only states admitting such an implementation are
pure supersymmetric ground states or mixtures and elementary excitations
thereof. Faithful states, such as KMS--states, are never supersymmetric.

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