Algebraic backgrounds for noncommutative Kaluza-Klein theory. II. The almost-commutative case and the standard model

DOI10.1063/1.5116922zbMath1442.81063arXiv1902.09387OpenAlexW2995743975WikidataQ126587711 ScholiaQ126587711MaRDI QIDQ5218782

Fabien Besnard

Publication date: 5 March 2020

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

Full work available at URL: https://arxiv.org/abs/1902.09387

zbMATH Keywords

standard modelKaluza-Klein theory

Mathematics Subject Classification ID

Unified quantum theories (81V22) Quantum field theory on curved space or space-time backgrounds (81T20) Spinor and twistor methods applied to problems in quantum theory (81R25) Methods of quantum field theory in general relativity and gravitational theory (83C47) Electromagnetic fields in general relativity and gravitational theory (83C50) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Kaluza-Klein and other higher-dimensional theories (83E15) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Methods of noncommutative geometry in general relativity (83C65) Noncommutative geometry (à la Connes) (58B34)

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Cites Work

• Noncommutative geometry, quantum fields and motives
• Lorentz signature and twisted spectral triples
• Noncommutative geometry and particle physics
• Derivations and automorphisms of operator algebras
• Rethinking Connes’ approach to the standard model of particle physics via non-commutative geometry
• Algebraic backgrounds for noncommutative Kaluza-Klein theory. I. Motivations and general framework