Domain walls from ten dimensions

We write down the general conditions for N = 1 supersymmetric four– dimensional domain walls, deriving them from a ten–dimensional point of view using generalized complex geometry. In cases where the compactification allows for a truncation to a finite number of fields, we make contact with a four–dimensional effective description. In the context of the AdS/CFT correspondence, the equations can be applied to renormalization–group flows of three–dimensional field theories. We allow for the presence of explicit brane sources and show how supersymmetry restricts their location in a natural way.