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We describe the construction of string theory models with semirealisticspectrum in a sector of (anti) D3-branes located at an orbifold singularity atthe bottom of a highly warped throat geometry, which is a generalisation of theKlebanov-Strassler deformed conifold. These models realise the Randall-Sundrumproposal to naturally generate the Planck/electroweak hierarchy in a concretestring theory embedding, and yielding interesting chiral open string spectra.We describe examples with Standard Model gauge group (or left-right symmetricextensions) and three families of SM fermions, with correct quantum numbersincluding hypercharge. The dilaton and complex structure moduli of the geometryare stabilised by the 3-form fluxes required to build the throat. We describediverse issues concerning the stabilisation of geometric Kahler moduli, likeblow-up modes of the orbifold singularities, via D term potentials and gaugetheory non-perturbative effects, like gaugino condensation. This localgeometry, once embedded in a full compactification, could give rise to modelswith all moduli stabilised, and with the potential to lead to de Sitter vacua.Issues of gauge unification, proton stability, supersymmetry breaking andYukawa couplings are also discussed.Comment: 46 pages, 13 figures (figures 3 and 13 corrected

Realistic D-Brane Models on Warped Throats: Fluxes, Hierarchies and Moduli Stabilization