Squashing the Boundary of Supersymmetric AdS${}_5$ Black Holes

Abstract

We construct new supersymmetric black holes in five-dimensional supergravity with an arbitrary number of vector multiplets and Fayet-Iliopoulos gauging. These are asymptotically locally AdS${}_5$ and the conformal boundary comprises a squashed three-sphere with $\text{SU}(2)\times \text{U}(1)$ symmetry. The solution depends on two parameters, of which one determines the angular momentum and the Page electric charges, while the other controls the squashing at the boundary. The latter is arbitrary, however in the flow towards the horizon it is attracted to a value that only depends on the other parameter of the solution. The entropy is reproduced by a simple formula involving the angular momentum and the Page charges, rather than the holographic charges. Choosing the appropriate five-dimensional framework, the solution can be uplifted to type IIB supergravity on $S^5$ and should thus be dual to $\mathcal{N}=4$ super Yang-Mills on a rotating, squashed Einstein universe.

arXiv comment55 pages, 7 figures; v3: minor changes, references added; version published in JHEP

References in corpus (39)

• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• An Index for 4 dimensional Super Conformal Theories
• Holographic Renormalization
• Embedding AdS Black Holes in Ten and Eleven Dimensions
• Asymptotically Anti-de Sitter Space-times: Conserved Quantities
• General supersymmetric AdS5 black holes
• General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• Supersymmetric AdS5 black holes
• Non-Extreme Black Holes of Five Dimensional N=2 AdS Supergravity
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Supersymmetric multi-charge AdS_5 black holes
• Localization on Hopf surfaces
• Exact microstate counting for dyonic black holes in AdS4
• An extremization principle for the entropy of rotating BPS black holes in AdS${}_5$
• Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• Large $N$ matrix models for 3d $\mathcal{N}=2$ theories: twisted index, free energy and black holes
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Black hole entropy in massive Type IIA
• A One-loop Test of Quantum Black Holes in Anti de Sitter Space
• Microstate Counting of $Ad{S}_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted Index
• Holographic renormalization and supersymmetry
• Black hole mass and Hamilton-Jacobi counterterms
• Supersymmetry on curved spaces and superconformal anomalies
• Supercurrent anomalies in 4d SCFTs
• 1/16-BPS Black Holes and Giant Gravitons in the AdS_5 X S^5 Space
• A note on the entropy of rotating BPS AdS${}_7\times S^4$ black holes
• The gravity dual of supersymmetric gauge theories on a squashed $S^1\times S^3$
• Supersymmetric counterterms from new minimal supergravity
• Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization
• Comments on supersymmetric solutions of minimal gauged supergravity in five dimensions
• Warped AdS_5 Black Holes and Dual CFTs
• Squashed, magnetized black holes in $D=5$ minimal gauged supergravity
• On a class of 4D Kahler bases and AdS_5 supersymmetric Black Holes
• AdS/CFT and local renormalization group with gauge fields

Cited by in corpus (13)

• Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS${}_5$ black holes
• The BPS limit of rotating AdS black hole thermodynamics
• Boundary terms and conserved charges in higher-derivative gauged supergravity
• Higher-derivative corrections to flavoured BPS black hole thermodynamics and holography
• Supersymmetric $Ad{S}_5$ black holes and strings from 5D $N=4$ gauged supergravity
• Uniqueness of supersymmetric AdS${}_5$ black holes with $SU(2)$ symmetry
• On the uniqueness of supersymmetric AdS${}_5$ black holes with toric symmetry
• General Supersymmetric AdS${}_5$ Black Holes with Squashed Boundary
• Black hole superpotential as a unifying entropy function and BPS thermodynamics
• Bianchi IX geometry and the Einstein-Maxwell theory
• All separable supersymmetric AdS${}_5$ black holes
• Mass and angular momentum of charged rotating Gödel black holes in five-dimensional minimal supergravity
• Deforming charged black holes with dipolar differential rotation boundary