5D supersymmetric domain wall solution with active hyperscalars and mixed AdS/non-AdS asymptotics. (English) Zbl 1217.83049
Summary: We find a new supersymmetric 5D solution of \(\mathcal N = 2\) 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 Kähler 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 \(D = 4, \mathcal N = 1\) gauge theory acquiring a conformal supersymmetry at the IR limit, which corresponds to the \(AdS_{5}\) asymptotic limit.
MSC:
83E50 | Supergravity |
83C15 | Exact solutions to problems in general relativity and gravitational theory |
81T17 | Renormalization group methods applied to problems in quantum field theory |
32Q15 | Kähler manifolds |
81T13 | Yang-Mills and other gauge theories in quantum field theory |
81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
81T60 | Supersymmetric field theories in quantum mechanics |