Graded KMS Functionals and the Breakdown of Supersymmetry
High Energy Physics - Theory
2011-04-06 v3 Mathematical Physics
math.MP
Abstract
It is shown that the modulus of any graded or, more generally, twisted KMS functional of a C*-dynamical system is proportional to an ordinary KMS state and the twist is weakly inner in the corresponding GNS-representation. If the functional is invariant under the adjoint action of some asymptotically abelian family of automorphisms, then the twist is trivial. As a consequence, such functionals do not exist for supersymmetric C*-dynamical systems. This is in contrast with the situation in compact spaces where super KMS functionals occur as super-Gibbs functionals.
Keywords
Cite
@article{arxiv.hep-th/9905102,
title = {Graded KMS Functionals and the Breakdown of Supersymmetry},
author = {Detlev Buchholz and Roberto Longo},
journal= {arXiv preprint arXiv:hep-th/9905102},
year = {2011}
}
Comments
9 pages, Latex, note added about a generalization of Corollary 8