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We propose a supersymmetric (SUSY) SU(5) Grand Unified Theory (GUT) includinga single right-handed neutrino singlet and an adjoint matter representationbelow the GUT scale and extend this model to include an A4 family symmetry anda gauged anomaly-free Abelian group. In our approach hierarchical neutrinomasses result from a combined type I and type III seesaw mechanism, and the A4symmetry leads to tri-bimaximal mixing which arises indirectly. The mixingbetween the single right-handed neutrino and the matter in the adjoint isforbidden by excluding an adjoint Higgs, leading to a diagonal heavy Majoranasector as required by constrained sequential dominance. The model alsoreproduces a realistic description of quark and charged lepton masses and quarkmixings, including the Georgi-Jarlskog relations and the leptonic mixing sumrules s=r*cos(delta) and a=-r^2/4 with r=theta_C/3.

SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry