The CPT and Bisognano-Wichmann Theorems for Anyons and Plektons in d=2+1

Abstract

We prove the Bisognano-Wichmann and CPT theorems for massive particles obeying braid group statistics in three-dimensional Minkowski space. We start from first principles of local relativistic quantum theory, assuming Poincare covariance and asymptotic completeness. The particle masses must be isolated points in the mass spectra of the corresponding charged sectors, and may only be finitely degenerate.

35 pages, 2 figures. References added; minor re-organization

References in corpus (6)

• Modular localization and Wigner particles
• The Bisognano-Wichmann Theorem for Massive Theories
• String-localized quantum fields from Wigner representations
• Modular Localization of Massive Particles with "Any" Spin in d=2+1
• The Spin-Statistics Theorem for Anyons and Plektons in d=2+1
• Borchers' Commutation Relations for Sectors with Braid Group Statistics in Low Dimensions

Cited by in corpus (2)

• Modular Theory, Non-Commutative Geometry and Quantum Gravity
• Braid group statistics implies scattering in three-dimensional local quantum physics