The Construction of Pointlike Localized Charged Fields from Conformal Haag-Kastler Nets

Details The Construction of Pointlike Localized Charged Fields from Conformal Haag-Kastler Nets The Construction of Pointlike Localized Charged Fields from Conformal Haag-Kastler Nets

1995-06-02

arxiv.org/abs/hep-th/9506016v1

Lett.Math.Phys.38:257-274,1996

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex

Scientific paper

10.1007/BF00398350

Starting from a chiral conformal Haag-Kastler net on 2 dimensional Minkowski space we construct associated charged pointlike localized fields which intertwine between arbitrary superselection sectors with finite statistics of the theory. This amounts to a proof of the Spin-Statistics theorem, the PCT theorem and the existence of operator product expansions. This paper generalizes similar results of a recently published paper by Fredenhagen and the author \cite{FrJ} from the neutral vacuum sector to the the full theory with arbitrary charge and finite statistics.

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