QUANTUM NOETHER'S THEOREM AND CONFORMAL FIELD THEORY: A STUDY OF SOME MODELS

DOI10.1142/S0129055X99000192zbMath0965.81041OpenAlexW1999247169MaRDI QIDQ4519808

Sebastiano Carpi

Publication date: 4 December 2000

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

Full work available at URL: https://doi.org/10.1142/s0129055x99000192

zbMATH Keywords

Noether's theoremchiral current algebrasWightman conserved currents

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15)

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Cites Work

• Local aspects of superselection rules. II
• Standard and split inclusions of von Neumann algebras
• Local aspects of superselection rules
• On Noether's theorem in quantum field theory
• Operator algebras and conformal field theory
• Modular structure and duality in conformal quantum field theory
• Conformal Haag-Kastler nets, pointlike localized fields and the existence of operator product expansions
• HAAG DUALITY IN CONFORMAL QUANTUM FIELD THEORY