The construction of pointlike localized charged fields from conformal Haag-Kastler nets

DOI10.1007/BF00398350zbMath0861.46045arXivhep-th/9506016MaRDI QIDQ1816423

Martin Jòrß

Publication date: 11 May 1997

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9506016

zbMATH Keywords

conformal field theorysuperselection sectorsWightman axiomsspin-statistics theoremPCT theoremtwo-dimensional Minkowski spacecharged pointlike localized fieldschiral conformal Haag-Kastler netexistence of operator product expansionsfinite statistics

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) Applications of functional analysis in quantum physics (46N50)

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Cites Work

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• A remark on the cluster theorem
• The CPT-theorem in two-dimensional theories of local observables
• Operator algebras and conformal field theory
• Modular structure and duality in conformal quantum field theory
• Superselection sectors with braid group statistics and exchange algebras
• Conformal Haag-Kastler nets, pointlike localized fields and the existence of operator product expansions
• The conformal spin and statistics theorem
• On the duality condition for a Hermitian scalar field
• SUPERSELECTION SECTORS WITH BRAID GROUP STATISTICS AND EXCHANGE ALGEBRAS II: GEOMETRIC ASPECTS AND CONFORMAL COVARIANCE

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