The Construction of Pointlike Localized Charged Fields from Conformal Haag-Kastler Nets
Martin Jörß
Abstract
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 FrJ from the neutral vacuum sector to the the full theory with arbitrary charge and finite statistics.
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