Incontri di Fisica Teorica

Flat connection on Jordan modules and particle physics

by Alessandro Carotenuto

Europe/Rome
1G09

1G09

Description
In his paper "Exceptional quantum geometry and particle physics", Michel Dubois-Violette shows how some problems related to the noncommutative formulation of standard model of particle physics (such as quark-lepton symmetry and the existence of three generations of particles) might be solved by reformulating it in terms of Jordan modules. It is then important to study (nonassociative) geometry of such modules. In particular the study of flat connections on modules of the exceptional Jordan algebra may reveal essential for further developing of this model. This a joint work with M. Dubois-Violette and L. Dabrowski.