Gauge-Fermion Unification and Flavour Symmetry

Tianjun Li

doi:10.1088/1126-6708/2004/03/040

paper

Gauge-Fermion Unification and Flavour Symmetry

arXiv:hep-ph/0309199 · doi:10.1088/1126-6708/2004/03/040

Abstract

After we study the 6-dimensional $N = (1, 1)$ supersymmetry breaking and $R$ symmetry breaking on $M^{4} \times T^{2} / Z_{n}$ , we construct two $N = (1, 1)$ supersymmetric $E_{6}$ models on $M^{4} \times T^{2} / Z_{3}$ where $E_{6}$ is broken down to $S O (10) \times U (1)_{X}$ by orbifold projection. In Model I, three families of the Standard Model fermions arise from the zero modes of bulk vector multiplet, and the $R$ symmetry $U (1)_{F}^{I} \times S U (2)_{4_{-}}$ can be considered as flavour symmetry. This may explain why there are three families of fermions in the nature. In Model II, the first two families come from the zero modes of bulk vector multiplet, and the flavour symmetry is similar. In these models, the anomalies can be cancelled, and we have very good fits to the SM fermion masses and mixings. We also comment on the $N = (1, 1)$ supersymmetric $E_{6}$ models on $M^{4} \times T^{2} / Z_{4}$ and $M^{4} \times T^{2} / Z_{6}$ , SU(9) models on $M^{4} \times T^{2} / Z_{3}$ , and SU(8) models on $T^{2}$ orbifolds.

Latex, 33 pages, minor changes

Gauge-Fermion Unification and Flavour Symmetry

Abstract

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