On the Implementation of Supersymmetry
Abstract
Description
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.
Latex, 9 pages, prose improved, typos corrected
Latex, 9 pages, prose improved, typos corrected