A New Approach to Spin and Statistics

Abstract

We give an algebraic proof of the spin-statistics connection for the parabosonic and parafermionic quantum topological charges of a theory of local observables with a modular PCT-symmetry. The argument avoids the use of the spinor calculus and also works in 1+2 dimensions. It is expected to be a progress towards a general spin-statistics theorem including also (1+2)-dimensional theories with braid group statistics.

LATEX, 15 pages, no figures

References in corpus (3)

• Modular Structure and Duality in Conformal Quantum Field Theory
• Group Cohomology, Modular Theory and Space-time Symmetries
• Mathematical Methods of Theoretical Physics

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• A Converse Hawking-Unruh Effect and dS^2/CFT Correspondance
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• Covariant Thermodynamics of Quantum Systems: Passivity, Semipassivity, and the Unruh Effect
• Two uniqueness results on the Unruh effect and on PCT-symmetry
• Modular Covariance and the Algebraic PCT/Spin-Statistics Theorem
• Geometric Modular Action and Spacetime Symmetry Groups
• Spin, Statistics, and Reflections, I. Rotation Invariance
• Spin, Statistics, and Reflections, II. Lorentz Invariance
• Application of Tomita-Takesaki theory in algebraic euclidean field theories
• The CPT and Bisognano-Wichmann Theorems for Anyons and Plektons in d=2+1