M. Jorss, THE CONSTRUCTION OF POINT-LIKE LOCALIZED CHARGED FIELDS FROM CONFORMAL HAAG-KASTLER NETS, letters in mathematical physics, 38(3), 1996, pp. 257-274
Starting from a chiral conformal Haag-Kastler net on two-dimensional M
inkowski space we construct associated charged pointlike localized fie
lds which intertwine between arbitrary superselection sectors with fin
ite statistics of the theory. This amounts to a proof of the Spin-Stat
istics theorem, the PCT theorem and the existence of operator product
expansions. This Letter generalizes similar results of a recently publ
ished paper by Fredenhagen and the author from the neutral vacuum sect
or to the the full theory with arbitrary charge and finite statistics.