6D attractors and black hole microstates

Abstract

We find a family of AdS${}_2\times {\mathcal{M}}_4$ supersymmetric solutions of the six-dimensional $\mathrm{F}(4)$ gauged supergravity coupled to one vector multiplet that arises as a low energy description of massive type IIA supergravity on (warped) AdS${}_6\times S^4$. ${\mathcal{M}}_4$ is either a Kähler-Einstein manifold or a product of two Riemann surfaces with a constant curvature metric. These solutions correspond to the near-horizon region of a family of static magnetically charged black holes. In the case where ${\mathcal{M}}_4$ is a product of Riemann surfaces, we successfully compare their entropy to a microscopic counting based on the recently computed topologically twisted index of the five-dimensional $\mathcal{N}=1$ $\mathrm{USp}(2N)$ theory with $N_f$ fundamental flavors and an antisymmetric matter field. Furthermore, our results suggest that the near-horizon regions exhibit an attractor mechanism for the scalars in the matter coupled $\mathrm{F}(4)$ gauged supergravity, and we give a proposal for it.

arXiv comment19 pages, v2: minor corrections

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• Lectures on AdS Black Holes, Holography and Localization
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• Supersymmetric $Ad{S}_6$ black holes from matter coupled $F(4)$ gauged supergravity
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• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• Supersymmetric Rényi entropy and charged hyperbolic black holes
• Black holes with spindles at the horizon
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• D4-branes wrapped on four-dimensional orbifolds through consistent truncation
• Superconformal index of low-rank gauge theories via the Bethe Ansatz
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Holographic line defects in F(4) gauged supergravity
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• The joy of factorization at large $N$: five-dimensional indices and AdS black holes
• On the 3d compactifications of 5d SCFTs associated with SU(N+1) gauge theories
• Topologically twisted index of $T[SU(N)]$ at large $N$
• Supersymmetric $Ad{S}_5$ black holes and strings from 5D $N=4$ gauged supergravity
• The $\mathcal{N}=2$ Prepotential and the Sphere Free Energy
• A 5d perspective on the compactifications of 6d SCFTs to 4d $\mathcal{N}=1$ SCFTs
• On-shell action and the Bekenstein-Hawking entropy of supersymmetric black holes in $Ad{S}_6$
• Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity
• Compactifying 5d superconformal field theories to 3d
• New supersymmetric AdS${}_6$ black holes from matter-coupled F(4) gauged supergravity
• $\mathcal{I}$-extremization with baryonic charges
• Thermodynamics of BPS and Near-BPS AdS6 Black Holes
• Twisted compactifications and conformal defects from ISO(3)xU(1) F(4) gauged supergravity
• Kerr-Newman black holes from $\mathcal{N}=1^{\ast }$
• Janus and RG-flow interfaces from matter-coupled F(4) gauged supergravity
• Holographic renormalization group flows in two-dimensional gravity and $AdS$ black holes
• Uplifting supersymmetric $Ad{S}_6$ black holes to type II supergravity
• Holographic RG flows and Janus interfaces from ISO(3)xU(1) F(4) gauged supergravity
• Supersymmetric AdS${}_6$ black holes from ISO(3)xU(1) F(4) gauged supergravity
• Off-shell phase diagram of BPS black holes in AdS${}_5$