Centre de Physique Théorique


Friday 5 April 2019

14h00 – 15h00, Amphi 5

Differential calculus for Jordan algebras and modules and the Standard model of particle physics

Alessandro Carotenuto (SISSA)

In this talk I will review some recent developments in the differential calculus for Jordan algebras and the theory of connections for Jordan modules. Jordan algebras were introduced last century as algebraic framework to describe quantum systems and the reasons to give an explicit characterization of their differential calculus originated from the suggestion of Michel Dubois-Violette that the existence of three generations of particles in the Standard Model might be explained by allowing for the exceptional Jordan algebra $J^8_3$ as algebra of quantum observables.