26-30 October 2015
Asia/Tokyo timezone
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Contribution Oral presentation

Dark matter: Physics and Cosmology

Cartan's Supersymmetry and the Universe


  • Dr. Sadataka FURUI

Primary authors

Abstract content

Cartan has proposed a model of number systems given by octonions and a pair of 4 dimensional vector system. Octonions contains 2 quaternions or a pair of Dirac particles and by the transformation G_{23}, particle-antiparticle transformation occurs, and by the transformations G_{12},G_{123},G_{13} and G_{132}, supersymmetric transformation occur. We extend the model to the system in which quark, leptons, gauge fields and Higgs particles are interacting, and the construct a picture of the universe.