Supersymmetric AdS6 black holes from matter coupled F(4) gauged supergravity

Abstract

Abstract In matter coupled F(4) gauged supergravity in six dimensions, we study supersymmetric AdS 6 black holes with various horizon geometries. We find new $$ Ad{S}_2\times {\varSigma}_{{\mathfrak{g}}_1}\times {\varSigma}_{{\mathfrak{g}}_2} $$ Ad S 2 × Σ g 1 × Σ g 2 horizons with $$ \mathfrak{g} $$ g 1 > 1 and $$ \mathfrak{g} $$ g 2 > 1, and present the black hole solution numerically. The full black hole is an interpolating geometry between the asymptotically AdS 6 boundary and the $$ Ad{S}_2\times {\varSigma}_{{\mathfrak{g}}_1}\times {\varSigma}_{{\mathfrak{g}}_2} $$ Ad S 2 × Σ g 1 × Σ g 2 horizon. We also find black holes with horizons of Kähler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in Spin(7) manifolds.