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

We study a number of holographic solutions describing conformal line defects within $$N=2$$ N = 2 SCFTs from matter-coupled $$N=4$$ N = 4 gauged supergravity in five dimensions. For SO(2)D× SO(3) S O ( 2 ) D × S O ( 3 ) gauge group, the gauged supergravity admits two supersymmetric AdS₅ A d S 5 vacua with $$N=4$$ N = 4 and $$N=2$$ N = 2 unbroken supersymmetries. It turns out that only solutions that are asymptotic to the $$N=4$$ N = 4 vacuum are possible leading to line defects within the dual $$N=2$$ N = 2 SCFT. In gauged supergravity with SO(2)× ISO(3) S O ( 2 ) × I S O ( 3 ) gauge group, we find similar solutions with the $$N=2$$ N = 2 SCFT appearing in the IR while the UV field theories correspond to six-dimensional $$N=(0,2)$$ N = ( 0 , 2 ) field theories arising from M5-branes wrapped on a hyperbolic space H² H 2 . The solution with SO(2)× SO(3) S O ( 2 ) × S O ( 3 )