Lorentz signature and twisted spectral triples

DOI10.1007/JHEP03(2018)089zbMath1388.83534arXiv1710.04965OpenAlexW2766145422WikidataQ130018708 ScholiaQ130018708MaRDI QIDQ1750932

Pierre Martinetti, Fedele Lizzi, Shane Farnsworth, Agostino Devastato

Publication date: 23 May 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04965

zbMATH Keywords

non-commutative geometryspacetime symmetriesWick rotationdifferential and algebraic geometry

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65)

Related Items (14)

A critical survey of twisted spectral triples beyond the Standard Model ⋮ Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics ⋮ Geometric Dirac operator on the fuzzy sphere ⋮ Quantum Kaluza-Klein theory with \(M_2(\mathbb{C})\) ⋮ Real part of twisted-by-grading spectral triples ⋮ A survey of spectral models of gravity coupled to matter ⋮ On twisted reality conditions ⋮ A U(1)B−L-extension of the standard model from noncommutative geometry ⋮ Gauge transformations of spectral triples with twisted real structures ⋮ Algebraic backgrounds for noncommutative Kaluza-Klein theory. I. Motivations and general framework ⋮ Algebraic backgrounds for noncommutative Kaluza-Klein theory. II. The almost-commutative case and the standard model ⋮ Doppler shift in semi-Riemannian signature and the non-uniqueness of the Krein space of spinors ⋮ Gauge theories on \(\kappa\)-Minkowski spaces: twist and modular operators ⋮ Lorentzian fermionic action by twisting Euclidean spectral triples

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