On Poincaré transformations and the modular group of the algebra associated with a wedge

DOI10.1023/A:1007558826047zbMath0990.46042OpenAlexW202530366MaRDI QIDQ1281575

Hans-Jürgen Borchers

Publication date: 22 March 1999

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

Full work available at URL: https://doi.org/10.1023/a:1007558826047

zbMATH Keywords

modular groupgauge transformationwedge dualityPoincaré grouplocal observablesPoincaré covariantrepresentation of the Lorentz group

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60)

Related Items (7)

GEOMETRIC MODULAR ACTION AND SPACETIME SYMMETRY GROUPS ⋮ The CPT and Bisognano-Wichmann theorems for anyons and plektons in \(d=2+1\) ⋮ Unnamed Item ⋮ The Bisognano-Wichmann property on nets of standard subspaces, some sufficient conditions ⋮ On revolutionizing quantum field theory with Tomita’s modular theory ⋮ Deciphering the algebraic CPT theorem ⋮ A family of non-modular covariant AQFTs

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