theory, show how to achieve the required gauge symmetry breaking dynamically, and how to add flavors. We carefully check that the mass spectrum for gauge fields, scalars and fermions indeed matches the tower of KK modes for a 5D ${\cal N}=1$ supersymmetric gauge theory, and that 5D Lorentz invariance and supersymmetry is indeed recovered in the continuum limit. This is not a trivial fact, because in the usual Wilson lattice action the fermions are included as adjoints living at the sites of the lattice, while for our construction they are in bifundamentals at the links.

In order to translate gaugino mediation of supersymmetry breaking into a 4D language we show how the corresponding $S^1/Z_2$ orbifolds are constructed. Armed with this knowledge, we present a simple 4D version of gaugino mediation, where the lattice can be as coarse as two gauge groups and still give the characteristic gaugino-mediated spectrum. One of these gauge groups contains the standard model matter fields, while another couples to the supersymmetry breaking sector. The physical gaugino is a linear combination of the gauginos for the various group factors and thus obtains a mass directly from the supersymmetry breaking sector, while the scalar mass terms for the 