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Paper detail

Graded KMS Functionals and the Breakdown of Supersymmetry

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.

preprint2000arXivOpen access
Detlev BuchholzRoberto Longo
math-phmath.MPhep-th
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Detlev BuchholzRoberto Longo

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