On the Implementation of Supersymmetry

Abstract

The implementation of supersymmetry transformations by Hilbert space operators is discussed in the framework of supersymmetric C${}^{\ast }$--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