Séminaire de Physique ThéoriqueTwisted spectral triple for the Standard Model of elementary particles
Pierre Martinetti (Università di Trieste, Italie)
Thursday 16 April 2015 14:00 - Tours - Salle 1180 (Bât E2)
Noncommutative geometry [NCG] provides a generalization of Riemannian geometry in which the Standard Model of elementary particles [SM] is obtained as a pure gravitational theory. It gives a way to compute the mass of the Higgs boson, which is obtained as a connection 1-form living on the noncommutative part of the geometry. The recent discovery of a 126 GeV Higgs boson yielded some particle physicist to postulate the existence of another scalar field, in order to avoid some instability in the SM. We will show how to generate this new field in the NCG framework by twisting (in the sense of Connes, Moscovici), the spectral triple of the SM. In addition, the twist also yields an extra vector field which encodes a perturbation of the spin connection.