- 94-191 Borchers H.-J.
- Quantum Field Theory and Modular Structures
(93K, TeX)
Jun 8, 94
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Abstract. A survey of the use of the Tomita--Takesaki modular theory in
the theory of local observables will be given. This contains, in
particular, the characterization of chiral field theories in terms
of the concept of modular inclusions. Moreover, it contains the
reconstruction of the translation--goup fulfilling spectrum condition
out of the modular conjugations of the algebras associated with
wedge--domains. Finally examples will be given wich show that neither
duality nor wedge--duality are consequences of the standard axioms.
These examples are constructed by using the modular theory.
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