Abstract
LetN, ℳ be von-Neumann-Algebras on a Hilbert space ℋ, Ω a comon cyclic and separarting vector. Assume Ω to be cyclic and separating also forN ∩ ℳ. Denote byJℳ, JN the modular conjugations to (ℳ, Ω), Δℳ and ΔN the associated modular operators. If Open image in new window and Open image in new window these data define in a canonical way a conformal quantum field theory in a cricle. Conversely, the chiral part of a conformal quantum field theory in two dimensions always yields such data in a natural way.
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