Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-12-20
Lect.Notes Phys. 539 (2000) 211-220
Physics
High Energy Physics
High Energy Physics - Theory
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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