
arXiv: 1809.03517
Abstract In F (4) gauged supergravity in six dimensions, we study supersymmetric AdS 6 black holes with various horizon geometries. We find a new $$ Ad{S}_2 \times {\Sigma}_{\mathfrak{g}1}\times {\Sigma}_{\mathfrak{g}2} $$ Ad S 2 × Σ g 1 × Σ g 2 horizon solution with $$ {\mathfrak{g}}_1>1 $$ g 1 > 1 and $$ {\mathfrak{g}}_2>1 $$ 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 $$ Ad{S}_2 \times {\Sigma}_{\mathfrak{g}1}\times {\Sigma}_{\mathfrak{g}2} $$ Ad S 2 × Σ g 1 × Σ g 2 horizon. We calculate the Bekenstein-Hawking entropy of the black hole and find a match with the recently calculated topologically twisted index of 5d USp(2N) gauge theory on $$ {\Sigma}_{\mathfrak{g}1}\times {\Sigma}_{\mathfrak{g}2}\times {S}^1 $$ Σ g 1 × Σ g 2 × S 1 in the large N limit. We also find black hole horizons of Kähler four-cycles in Calabi-Yau fourfolds and on Cayley four-cycles in Spin(7) manifolds.
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, FOS: Physical sciences, QC770-798, AdS-CFT Correspondence, Supergravity Models
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, FOS: Physical sciences, QC770-798, AdS-CFT Correspondence, Supergravity Models
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