5D supersymmetric domain wall solution with active hyperscalars and mixed AdS/non-AdS asymptotics

TL;DR

This paper presents a new 5D supersymmetric domain wall solution in N=2 supergravity with active hyperscalars, exhibiting mixed AdS and non-AdS asymptotics, and discusses its holographic RG flow dual to a 4D N=1 gauge theory.

Contribution

It introduces a novel supersymmetric domain wall solution with active hyperscalars and mixed asymptotics, expanding the understanding of holographic RG flows in supergravity.

Findings

The solution interpolates between AdS_5 and non-AdS geometries.

Hyperscalars approach a critical point only in one asymptotic limit.

The model uses the H^4 hyperboloid quaternionic Kähler manifold.

Abstract

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 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 an D = 4, N = 1 gauge theory acquiring a conformal supersymmetry at the IR limit, which correspond to the AdS_5 asymptotic limit.