Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-16
Nucl.Phys.B659:193-223,2003; Erratum-ibid.B696:298-298,2004
Physics
High Energy Physics
High Energy Physics - Theory
39 pages, 4 figures, 2 tables, 1 appendix, note added
Scientific paper
10.1016/j.nuclphysb.2004.06.041
We construct some N=1 supersymmetric three-family SU(5) Grand Unified Models from type IIA orientifolds on $\IT^6/(\IZ_2\times \IZ_2)$ with D6-branes intersecting at general angles. These constructions are supersymmetric only for special choices of untwisted moduli. We show that within the above class of constructions there are no supersymmetric three-family models with 3 copies of {\bf 10}-plets unless there are simultaneously some {\bf 15}-plets. We systematically analyze the construction of such models and their spectra. The M-theory lifts of these brane constructions become purely geometrical backgrounds: they are singular $G_2$ manifolds where the Grand Unified gauge symmetries and three families of chiral fermions are localized at codimension 4 and codimension 7 singularities respectively. We also study somepreliminary phenomenological features of the models.
Cvetic Mirjam
Papadimitriou Ioannis
Shiu Gary
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