BPS domain wall from toric hypermultiplet

In this paper, we present the gradient flow equations of BPS domain walls of five dimensional gauged N = 2 supergravity coupled to a hypermultiplet where the hypermultiplet scalar manifold is chosen to be the most general selfdual Einstein spaces admitting torus symmetry. An interesting result is that the gradient flows describe the supersymmetric flows and the spin-12 fermion masses on the walls which is on the upper half plane. For further analysis, we provide stability condition for the flow equation obtained for BPS domain walls.