Supersymmetric theories with compact extra dimensions in N=1 superfields -art. no. 105025

We present an N=1 superfield formulation of supersymmetric gauge theories w ith a compact extra dimension. The formulation incorporates the radion supe rfield and allows us to write supersymmetric, theories on warped gravitatio nal backgrounds. We apply it to study the breaking of supersymmetry by the F term of the radion, and show that, for flat extra dimensions, this leads, to the same mass spectrum as in Scherk-Schwarz models of supersymmetry bre aking. We also consider scenarios where supersymmetry is broken on a bounda ry of a warped extra dimension and compare them with anomaly mediated model s.