K. Fredenhagen et M. Jorss, CONFORMAL HAAG-KASTLER NETS, POINT-LIKE LOCALIZED FIELDS AND THE EXISTENCE OF OPERATOR PRODUCT EXPANSIONS, Communications in Mathematical Physics, 176(3), 1996, pp. 541-554
Starting from a chiral conformal Haag-Kastler net on 2 dimensional Min
kowski space we construct associated pointlike localized fields. This
amounts to a proof of the existence of operator product expansions. We
derive the result in two ways. One is based on the geometrical identi
fication of the modular structure, the other depends on a ''conformal
cluster theorem'' of the conformal two-point-functions in algebraic qu
antum held theory. The existence of the fields then implies important
structural properties of the theory, as PCT-invariance, the Bisognano-
Wichmann identification of modular operators, Haag duality and additiv
ity.