We consider domain walls embedded in curved backgrounds as an approximation for braneworld scenarios. We give a large class of new exact solutions, exhausting the possibilities for describing one and two walls for the cases where the curvature of both the bulk and the wall is locally constant. In the case of two walls, we find solutions where each wall has positive tension. An interesting prope...

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...

Domain walls play a central role in a subject of recent interest, the braneworld scenario. In particular, BPS domain walls are investigated in detail in D = 4, N = 1 SUSY theories. We should consider hypermultiplets to realize D = 4, N = 1 SUSY theory on the world-volume. In order to have a potential with discrete degenerate vacua, they must have gauge interaction, or nonlinearity of kinetic te...

Non-abelian gauge theories in the Higgs phase admit a startling variety of BPS solitons. These include domain walls, vortex strings, confined monopoles threaded on vortex strings, vortex strings ending on domain walls, monopoles threaded on strings ending on domain walls, and more. After presenting a selfcontained review of these objects, including several new results on the dynamics of domain ...