Conformal line defects from matter-coupled 5D N=4 gauged supergravity

We study a number of holographic solutions describing conformal line defects within $N=2$ SCFTs from matter-coupled $N=4$ gauged supergravity in five dimensions. For $SO(2)_D\times SO(3)$ gauge group, the gauged supergravity admits two supersymmetric $AdS_5$ vacua with $N=4$ and $N=2$ unbroken supersymmetries. It turns out that only solutions that are asymptotic to the $N=4$ vacuum are possible leading to line defects within the dual $N=2$ SCFT. In gauged supergravity with $SO(2)\times ISO(3)$ gauge group, we find similar solutions with the $N=2$ SCFT appearing in the IR while the UV field theories correspond to six-dimensional $N=(0,2)$ field theories arising from M5-branes wrapped on a hyperbolic space $H^2$. The solution with $SO(2)\times SO(3)$ symmetry is also uplifted to eleven dimensions via a consistent truncation on $H^2\times S^4$. Finally, for gauged supergravity with $SO(2)\times SO(3)\times SO(3)$ gauge group that admits two $N=4$ supersymmetric $AdS_5$ vacua, we find a solution describing a line defect that interpolates between these two vacua as well as a solution with only one asymptotic $AdS_5$ geometry.