109 citations · 712 across the 45 of their papers we have counts for
25 papers · 1 filter
Twisted Standard Model and its Krein structure -- in memoriam Manuele Filaci
Pierre Martinetti
We review the contributions of Manuele Filaci - a PhD student from the university of Genova prematurely deceased a little more than a year ago - to the description of the Standard…
Torsion and Lorentz symmetry from Twisted Spectral Triples
Pierre Martinetti, Gaston Nieuviarts, Ruben Zeitoun
By twisting the spectral triple of a riemannian spin manifold, we show how to generate an orthogonal and geodesic preserving torsion from a torsionless Dirac operator. We identify…
A critical survey of twisted spectral triples beyond the Standard Model
Manuele Filaci, Pierre Martinetti
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 an…
Minimal twist of almost commutative geometries
Manuele Filaci, Pierre Martinetti
We classify the twists of almost commutative spectral triples that keep the Hilbert space and the Dirac operator untouched. The involved twisting operator is shown to be the produc…
Twisted Spectral Triples without the First-Order Condition
Pierre Martinetti, Jacopo Zanchettin
We extend twisted inner fluctuations to twisted spectral triples that do not meet the twisted first-order condition, following what has been done in [6] for the non-twisted case. W…
Real Part of Twisted-by-Grading Spectral Triples
Manuele Filaci, Pierre Martinetti
After a brief review on the applications of twisted spectral triples to physics, we adapt to the twisted case the notion of real part of a spectral triple. In particular, when one…