A critical survey of twisted spectral triples beyond the Standard Model. (14th April 2023)

• Record Type: Journal Article
• Authors: Filaci, Manuele; Martinetti, Pierre
• Is Part Of: Journal of physics. Volume 56:Number 15(2023)
• Publication Date: 2023-04-14
• Subjects: Standard Model -- spectral triple -- Wick rotation; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/acc146
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We review the applications of twisted spectral triples to the Standard Model. The initial motivation was to generate a scalar field, required to stabilise the electroweak vacuum and fit the Higgs mass, while respecting the first-order condition. Ultimately, it turns out that the truest interest of the twist lies in a new—and unexpected—field of 1-forms, which is related to the transition from Euclidean to Lorentzian signature.