Modular Covariance, PCT, Spin and Statistics

Abstract

The notion of modular covariance is reviewed and the reconstruction of the Poincaré group extended to the low-dimensional case. The relations with the PCT symmetry and the Spin and Statistics theorem are described.

15 pages, plain TeX, talk presented to the Colloquium "New Problems in the General Theory of Fields and Particles", Paris 1994. To appear in the special issue of the Ann. Inst. H. Poincaré devoted to the Colloquium

References in corpus (2)

• Modular Structure and Duality in Conformal Quantum Field Theory
• A New Approach to Spin and Statistics

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• Geometric Modular Action, Wedge Duality and Lorentz Covariance are Equivalent for Generalized Free Fields
• Modular Action on the Massive Algebra