Abstract:
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.
Note:
  • Published in Theoretical Physics Fin de Siecle: Proceedings held in Wroclaw 1998. (Lecture Notes in Physics) Springer, 2000. pp. 211-220
  • Latex, 9 pages, prose improved, typos corrected
  • supersymmetry
  • Hilbert space
  • algebra: C*
  • ground state
  • axiomatic field theory
  • functional analysis