Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity

We study supersymmetric solutions of matter-coupled $F(4)$ gauged supergravity in the forms of AdS₂× S³- and AdS₃× S²-sliced domain walls with a non-vanishing two-form field from the supergravity multiplet. These two types of solutions holographically describe conformal line and surface defects within five-dimensional $N=2$ SCFTs, respectively. In the case of SO(3)× SO(3) gauge group obtained by coupling $F(4)$ supergravity to three vector multiplets, we find charged domain wall solutions describing holographic RG flows between two supersymmetric AdS₆ vacua with a running two-form field supporting the line and surface defects. For a particular case of one vector multiplet with SO(3)× U(1) gauge group, we find solutions describing RG flows from an AdS₆ vacuum to physically acceptable singular geometries in the presence of defects. This class of solutions can be uplifted to type IIB theory using a consistent truncation obtained from $SO(5,5)$ exceptional field theory with half-maximal structures.