Conformal quantum field theory and half-sided modular inclusions of von-Neumann-Algebras |
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Authors: | Hans-Werner Wiesbrock |
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Affiliation: | (1) Institut für Theoretische Physik, FU Berlin, D-14195 Berlin, Germany |
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Abstract: | LetN, be von-Neumann-Algebras on a Hilbert space , a comon cyclic and separarting vector. Assume to be cyclic and separating also forN . Denote byJ, JN the modular conjugations to (, ), and N the associated modular operators. If and 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.Partly supported by the DFG, SFB 288 Differentiageometrie und Quantenphysik |
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