A critical survey of twisted spectral triples beyond the Standard Model

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.

Published versions. Minor misprints and acknowledgments updated

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