PoS - Proceedings of Science
Volume 318 - Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" (CORFU2017) - Training School “Quantum Spacetime and Physics Models”
Connections on Jordan modules and particle physics
A. Carotenuto
Full text: pdf
Pre-published on: August 22, 2018
Published on: August 24, 2018
We review differential calculus on modules of Jordan algebras, focusing on the exceptional Jordan
algebra $J^8_3$ that, as shown by Michel Dubois-Violette in "Exceptional quantum geometry and
particle physics" might provide the opportune mathematical background to overcome the main
problems of noncommutative formulation of Standard Model, namely the quark lepton-symmetry
and the three generations of particle. This a joint work with M. Dubois-Violette and L. Dabrowski.
DOI: https://doi.org/10.22323/1.318.0149
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