New supersymmetric AdS₆ black holes from matter-coupled F(4) gauged supergravity

We study supersymmetric AdS₆ black holes from matter-coupled $N=(1,1)$ gauged supergravity coupled to three vector multiplets and SO(3)× SO(3) gauge group. This gauged supergravity admits two supersymmetric AdS₆ vacua preserving all supersymmetries with SO(3)× SO(3) and SO(3)diag symmetries. By considering a truncation to SO(2)diag⊂ SO(3)diag invariant sector, we find a number of new supersymmetric AdS₂× M₄ solutions by performing a topological twist along M₄. For M₄ being a product of two Riemann surfaces Σ× Σ and a Kahler four-cycle, the twist is implemented by SO(2)diag gauge field while, for M₄ given by a Clayley four-cycle, the twist is performed by turning on SO(3)diag gauge fields. We give numerical black hole solutions interpolating between AdS₂× M₄ near horizon geometries and asymptotically locally AdS₆ vacua. Among these solutions, there are solutions interpolating between both of the supersymmetric AdS₆ vacua and near horizon geometries. The solutions can also be interpreted as holographic RG flows from five-dimensional SCFTs to superconformal quantum mechanics.