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We construct a realistic Supersymmetric Grand Unified Theory of Flavour based on PSL2(7)×SO(10), where the quarks and leptons in the 16 of SO(10) are assigned to the complex triplet representation of PSL2(7), while the flavons are assigned to a combination of sextets and anti-triplets of PSL2(7). Using a D-term vacuum alignment mechanism, we require the flavon sextets of PSL2(7) to be aligned along...
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