Janus and RG-flow interfaces from 5D N=4 gauged supergravity

We study five-dimensional $N=4$ gauged supergravity coupled to three vector multiplets with $SO(2)_D\times SO(3)$ gauge group. The gauged supergravity admits two supersymmetric $AdS_5$ vacua. One of the vacua, at the origin of the scalar manifold $\mathbb{R}^+\times SO(5,3)/SO(5)\times SO(3)$, preserves $N=4$ supersymmetry and the full $SO(2)_D\times SO(3)$ gauge symmetry. The second $AdS_5$ vacuum is $N=2$ supersymmetric and invariant under $SO(2)_{\textrm{diag}}$ which is a diagonal subgroup of $SO(2)_D$ and $SO(2)\subset SO(3)$. By considering a truncation to $SO(2)_{\textrm{diag}}$ invariant scalars, we find a class of Janus solutions interpolating among these vacua. These solutions should be holographically dual to conformal interfaces within the dual $N=1$ and $N=2$ SCFTs in four dimensions. In addition, we also find examples of solutions describing RG-flow interfaces between $N=1$ and $N=2$ SCFTs on each side of the interfaces. All of the solutions could possibly be uplifted to eleven dimensions by a consistent truncation of M-theory on $M_3\times S^2\times S^1$ with a 3-manifold $M_3$.