English

On the Implementation of Supersymmetry

High Energy Physics - Theory 2007-05-23 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.hep-th/9812179,
  title  = {On the Implementation of Supersymmetry},
  author = {Detlev Buchholz},
  journal= {arXiv preprint arXiv:hep-th/9812179},
  year   = {2007}
}

Comments

Latex, 9 pages, prose improved, typos corrected