Abstract
We consider 5 dimensional (5D) ${E}_{6},$ ${E}_{7},$ and ${E}_{8}$ supersymmetric grand unified theories (GUTs) on an orbifold ${S}^{1}{/Z}_{2},$ in which the Higgs fields arise from the fifth components of the 5D gauge fields. We introduce matter fields in 5 dimensions, then the Yukawa interactions are induced from the gauge interactions among the fifth component of gauge fields and the bulk hypermultiplets. The adjoint and fundamental representations of bulk matter fields can induce all Yukawa interactions of the standard model in ${E}_{6}$ GUT. Furthermore, realistic fermion mass hierarchies and flavor mixings with the $\mathrm{CP}$ violating phase can be reproduced by introducing the 4D brane localized fields and their interactions. ${E}_{7}$ and ${E}_{8}$ GUTs can produce all Yukawa interactions by introducing only the adjoint matter hypermultiplet in the bulk. The charge quantization and anomaly-free structure on the 4D wall are satisfactory in our models.
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