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arXiv · 1604.01669

MSSM-like from $SU_{5}\times D_{4}$ Models

R. Ahl Laamara·M. Miskaoui·E. H Saidi
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Abstract

Using finite discrete group characters and symmetry breaking by hyperflux as well as constraints on top- quark family, we study minimal low energy effective theory following from SU$_{5}\times D_{4}$ models embedded in F-theory with non abelian flux. Matter curves spectrum of the models is obtained from SU$_{5}\times S_{5}$ theory with monodromy $S_{5}$ by performing two breakings; first from symmetric group $S_{5}$ to $S_{4}$ subsymmetry; and next to dihedral $D_{4}$ subgroup. As a consequence, and depending on the ways of decomposing triplets of $S_{4}$, we end with three types of $D_{4}$- models. Explicit constructions of these theories are given and a MSSM- like spectrum is derived.

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R. Ahl Laamara, M. Miskaoui, E. H Saidi. 2016-04-06. MSSM-like from $SU_{5}\times D_{4}$ Models. https://doi.org/10.1016/j.nuclphysb.2016.02.028

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