We classify Minkowski4β solutions in type IIA supergravity, with N=2
supersymmetry and an SU(2) R-symmetry of a certain type. Many subcases can be
reduced to relatively simple PDEs, among which we recover various intersecting
brane systems, and AdSdβ solutions, d=5,6,7, and in particular the recently
found general massive AdS7β solutions. Imposing compactness of the internal
six-manifold we obtain promising solutions with localized D-branes and
O-planes.Comment: v2: Result slightly strengthened, typos corrected. v3: Published
Versio