A critical survey of twisted spectral triples beyond the Standard Model
Manuele Filaci, Pierre Martinetti
TL;DR
This paper reviews the use of twisted spectral triples in extending the Standard Model, highlighting their role in generating scalar fields and revealing new 1-form fields linked to signature transitions.
Contribution
It provides a comprehensive survey of twisted spectral triples beyond the Standard Model, emphasizing their novel applications and insights into fundamental physics.
Findings
Twisted spectral triples can generate scalar fields stabilizing the electroweak vacuum.
They reveal a new field of 1-forms related to Euclidean-Lorentzian transition.
The twist offers a fresh perspective on geometric structures in particle physics.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsParticle physics theoretical and experimental studies · Cosmology and Gravitation Theories · Black Holes and Theoretical Physics