Application of division algebras in standard model physics

Author: Alexandre Gurchumelia
Keywords: standard model, division algebras, clifford algebras
Annotation:

Algebric structures important to the standard model of elementary particles is discussed, such as quaternions, octonions, Clifford algebras and Lie algebras. A model is demonstrated that possesses crucial features of Georgi-Glashow SU(5) model, while providing possibility to avoid proton decay. It is shown how ladder operators arise from division algebras C, H, O.