An Algebraic Spin and Statistics Theorem

Abstract

A spin-statistics theorem and a PCT theorem are obtained in the context of the superselection sectors in Quantum Field Theory on a 4-dimensional space-time. Our main assumption is the requirement that the modular groups of the von Neumann algebras of local observables associated with wedge regions act geometrically as pure Lorentz transformations. Such a property, satisfied by the local algebras generated by Wightman fields because of the Bisognano-Wichmann theorem, is regarded as a natural primitive assumption.

15 pages, plain TeX, an error in the statement of a theorem has been corrected, to appear in Commun. Math. Phys

References in corpus (2)

• Modular Structure and Duality in Conformal Quantum Field Theory
• Group Cohomology, Modular Theory and Space-time Symmetries

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