Superconformal nets and noncommutative geometry

DOI10.4171/JNCG/196zbMath1329.46063arXiv1304.4062MaRDI QIDQ2354787

Robin Hillier, Roberto Longo, Sebastiano Carpi

Publication date: 24 July 2015

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4062

zbMATH Keywords

conformal field theoryoperator algebrassupersymmetrycyclic cohomologyspectral triples

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Axiomatic quantum field theory; operator algebras (81T05) Noncommutative geometry methods in quantum field theory (81T75) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative geometry (à la Connes) (58B34)

Related Items (7)

Representations of conformal nets, universal \(C^*\)-algebras and \(K\)-theory ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Energy bounds for vertex operator algebra extensions ⋮ Loop groups and noncommutative geometry ⋮ Local-entire cyclic cocycles for graded quantum field nets ⋮ Super-KMS functionals for graded-local conformal nets ⋮ \(N=2\) superconformal nets

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• HAAG DUALITY IN CONFORMAL QUANTUM FIELD THEORY
• The current algebra on the circle as a germ of local field theories

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