5d Supersymmetric Domain Wall Solution With Active Hyperscalars And Mixed Ads/Non-Ads Asymptotics

We find a new supersymmetric 5D solution of N = 2 supergravity coupled to one hypermultiplet that depends only on the fifth dimension (the energy scale in a holographic context). In one asymptotic limit the domain wall approaches to the AdS(5) form but in the other one it does not. Similarly, the hyperscalars, which are all proportional between them, go asymptotically to a critical point of the potential only in one direction. The quaternionic Kahler manifold of the model is the H-4 hyperboloid. We use the standard metric of H-4 in an explicit conformally flat form with several arbitrary parameters. We argue that the holographic dual of the domain wall is a RG flow of a D = 4, N = 1 gauge theory acquiring a conformal supersymmetry at the IR limit, which corresponds to the AdS(5) asymptotic limit.