Monday, March 26, 2012

1203.5213 (Sadataka Furui)

The flavor symmetry in the standard model and the triality symmetry -Do
we need right-handed leptons?
   [PDF]

Sadataka Furui
A Dirac fermion is expressed by a 4 component spinor which is a combination of two quarternions and which can be treated as an octonion. The octonion possesses the triality symmetry, which transforms fermion spinors to bosonic vector fields. The super symmetry produced by the operator of the octonion algebra is different from that of the standard minimal symmetric standard model(MSSM). The proton decay is suppressed and the matter that is not detected by our electromagnetic detectors may be classified as the dark matter . Neutrino is not an octonion and does not possess the triality symmetry, but its $SU(2)_L$ partner is a Dirac particle and the triality symmetry is effectively assigned. The right-handed lepton, which was necessary for producing a mass to the neutrino may be superseded by a left-handed lepton in a different triality sector than that of the neutrino.
View original: http://arxiv.org/abs/1203.5213

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