Supersymmetric $Ad{S}_6$ black holes from matter coupled $F(4)$ gauged supergravity

In matter coupled $F(4)$ gauged supergravity in six dimensions, we study supersymmetric $Ad{S}_6$ black holes with various horizon geometries. We find new $Ad{S}_2\times {\mathrm{\Sigma }}_{{\mathfrak{g}}_1}\times {\mathrm{\Sigma }}_{{\mathfrak{g}}_2}$ horizons with ${\mathfrak{g}}_1>1$ and ${\mathfrak{g}}_2>1$, and present the black hole solution numerically. The full black hole is an interpolating geometry between the asymptotically $Ad{S}_6$ boundary and the $Ad{S}_2\times {\mathrm{\Sigma }}_{{\mathfrak{g}}_1}\times {\mathrm{\Sigma }}_{{\mathfrak{g}}_2}$ horizon. We also find black holes with horizons of K"ahler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in $Spin(7)$ manifolds.