Domain wall flow equations and image structure compactifications Original Research Article

We study supersymmetric domain wall solutions in four dimensions arising from the compactification of type II supergravity on an image structure manifold. Using a pure spinor approach, we show that the supersymmetry variations can be reinterpreted as a generalisation of the Hitchin flow equations and describe the embedding of an image structure manifold into a image structure manifold. We find a precise agreement between the four- and ten-dimensional supergravity results. The flow equations derived here should have applications in constructing the gravity duals of Chern–Simons-matter conformal field theories.