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

Abstract

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 $Ad{S}_2\times {\Sigma }_{{\mathfrak{g}}_1}\times {\Sigma }_{{\mathfrak{g}}_2}$ 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 $Ad{S}_2\times {\Sigma }_{{\mathfrak{g}}_1}\times {\Sigma }_{{\mathfrak{g}}_2}$ horizon. We also find black holes with horizons of Kähler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in $Spin(7)$ manifolds.

v3: 24 pages, 3 figures. Title changed. Previous title was "D4-branes wrapped on supersymmetric four-cycles from matter coupled $F(4)$ gauged supergravity". Numerical black hole solutions added. Published version. v4: Omitted citations of [29] in the introduction and above (3.21) recovered. arXiv admin note: text overlap with arXiv:1809.03517

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• D4-branes wrapped on a spindle
• Black hole entropy function for toric theories via Bethe Ansatz
• Geometry of $\mathcal{I}$-extremization and black holes microstates
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• AdS${}_{\text{2}}$ solutions and their massive IIA origin
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• D4-branes wrapped on four-dimensional orbifolds through consistent truncation
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• Holographic line defects in F(4) gauged supergravity
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• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• The joy of factorization at large $N$: five-dimensional indices and AdS black holes
• Global half-BPS $Ad{S}_2\times S^6$ solutions in Type IIB
• Towards top-down holographic composite Higgs: minimal coset from maximal supergravity
• The Coulomb branch of N=4 SYM and dilatonic scions in supergravity
• Dilatonic states near holographic phase transitions
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Supersymmetric probes in warped $Ad{S}_6$
• Entanglement and Topology in RG Flows Across Dimensions: Caps, Bridges and Corners
• Twisted compactifications of 6D field theories from maximal 7D gauged supergravity
• Two-dimensional SCFTs from matter-coupled 7D N=2 gauged supergravity
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• New supersymmetric AdS${}_6$ black holes from matter-coupled F(4) gauged supergravity
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• Twisted compactifications and conformal defects from ISO(3)xU(1) F(4) gauged supergravity
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• The topologically twisted index of $\mathcal{N}=4$ SU($N$) Super-Yang-Mills theory and a black hole Farey tail
• Janus and RG-flow interfaces from matter-coupled F(4) gauged supergravity
• Holographic RG flows and Janus interfaces from ISO(3)xU(1) F(4) gauged supergravity
• Wrapped D4-branes from maximal 6D gauged supergravity
• Supersymmetric quantum mechanics from wrapped D4-branes
• Supersymmetric AdS${}_6$ black holes from ISO(3)xU(1) F(4) gauged supergravity