Supersymmetric intersecting domain walls in massive hyper-Kahler sigma models - art. no. 085001

The general scalar potential of D-dimensional massive sigma models with eig ht supersymmetries is found for D=3,4. These sigma models typically admit 1 /2 supersymmetric domain wall solutions and we find, for a particular hyper -Kahler target, exact 1/4 supersymmetric static solutions representing a no ntrivial intersection of two domain walls. We also show that the intersecti ng domain walls can carry Noether charge while preserving 1/4 supersymmetry . We briefly discuss an application to the D1-D5 brane system.