Supersymmetric theories with compact extra dimensions in N = 1 superfields

We present an N = 1 superfield formulation of supersymmetric gauge theories with a compact extra dimension. The formulation incorporates the radion superfield and allows us to write supersymmetric theories on warped gravitational 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 breaking. We also consider scenarios where supersymmetry is broken on a boundary of a warped extra dimension and compare them with anomaly mediated models.