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- W2890930311 abstract "A Dirac fermion is expressed by a 4 component spinor which is a combination of two quaternions and which can be treated as an octonion. The octonion possesses the triality symmetry, which defines symmetry of fermion spinors and bosonic vector fields. The triality symmetry relates three sets of spinors and two sets of vectors, which are transformed among themselves via transformations $G_{23}, G_{12}, G_{13}$, $G_{123}$ and $G_{132}$. If the electromagnetic (EM) interaction is sensitive to the triality symmetry, i.e. EM probe selects one triality sector, EM signals from the 5 transformed world would not be detected, and be treated as the dark matter. According to an astrophysical measurement, the ratio of the dark to ordinary matter in the universe as a whole is almost exactly 5. We expect quarks are insensitive to the triality, and triality will appear as three times larger flavor degrees of freedom in the lattice simulation." @default.
- W2890930311 created "2018-09-27" @default.
- W2890930311 creator A5001003553 @default.
- W2890930311 date "2012-03-23" @default.
- W2890930311 modified "2023-09-24" @default.
- W2890930311 title "The flavor symmetry in the standard model and the triality symmetry -Do we need right-handed leptons?" @default.
- W2890930311 hasPublicationYear "2012" @default.
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