Black holes in N=8 supergravity from SO(4,4) hidden symmetries

Abstract

We detail the construction of the most general asymptotically flat, stationary, rotating, non-extremal, dyonic black hole of the four-dimensional N=2 supergravity coupled to 3 vector multiplets that describes the STU model. It generates through U-dualities the most general asymptotically flat, stationary black hole of N=8 supergravity. We develop the solution generating technique based on SO(4,4)/SL(2,R)^4 coset model symmetries, with an emphasis on the 4-fold permutation symmetry of the gauge fields. We indicate how previously known non-extremal and extremal solutions of the STU model are recovered as limiting cases. Several properties of the general black hole solution are discussed, including its thermodynamics, the quadratic mass formula, the Bogomolny-Prasad-Sommerfield limit, the slow and fast extremal rotating limits, its properties in regards to the Kerr/conformal field theory correspondence, its Killing tensors and the separability of geodesic motion and probe scalars.

63 pages; v2: minor changes, references added; v3: minor changes, published version; v4: minor clarifications and typos fixed, Mathematica file of solution included

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• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Aretakis Charges and Asymptotic Null Infinity
• Consistent mass formulas for the four-dimensional dyonic NUT-charged spacetimes
• Bubble Bag End: A Bubbly Resolution of Curvature Singularity
• A NUT Charge Weak Gravity Conjecture from Dimensional Reduction
• "Triangular" extremal dilatonic dyons
• Repulsive Black Holes and Higher-Derivatives
• The dark (BPS) side of thermodynamics in Minkowski${}_4$
• Slice-reducible conformal Killing tensors, photon surfaces and shadows
• Black Holes with Intrinsic Spin
• Supergravity, complex parameters and the Janis-Newman algorithm
• Dual CFT on Dyonic Kerr-Sen black hole and its gauged and ultraspinning counterparts
• Black hole thermodynamics from a variational principle: Asymptotically conical backgrounds
• STU Black Holes and SgrA*
• General relation between Aretakis charge and Newman-Penrose charge
• Vacuum Polarization of STU Black Holes and their Subtracted Geometry Limit
• Positive Energy Functional for Massless Scalars in Rotating Black Hole Backgrounds of Maximal Ungauged Supergravity
• New gravitational solutions via a Riemann-Hilbert approach
• Wave Equation for the Wu Black Hole
• Nilpotent orbits in real symmetric pairs and stationary black holes
• Generalised Couch-Torrence Symmetry for Rotating Extremal Black Holes in Maximal Supergravity
• Attractor Mechanism and Non-Renormalization Theorem in 6D (1,0) Supergravity
• A Class of Integrable Metrics
• Explicit black hole thermodynamics in natural variables
• Logarithmic correction to the entropy of a Kerr-Newman family of black holes in $U(1{)}^2$-charged STU supergravity models
• Duality invariance in Fayet-Iliopoulos gauged supergravity
• Entropy of non-extremal STU black holes: the F-invariant unveiled
• From Static to Cosmological Solutions of N=2 Supergravity
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• Entanglement entropy of subtracted geometry black holes
• Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity
• Higher-dimensional lifts of Killing-Yano forms with torsion
• Gaussian Null Coordinates for Rotating Charged Black Holes and Conserved Charges
• $E_{7(7)}$ invariant non-extremal entropy
• Estimating the Final Spin of Binary Black Holes Merger in STU Supergravity
• A Class of Integrable Metrics II
• Aspects of electric-magnetic dualities in maximal supergravity
• Vacuum polarization throughout general subtracted black hole spacetimes
• On Supersymmetric Multipole Ratios
• Spinning extremal dyonic black holes in $\gamma =1$ Einstein-Maxwell-dilaton theory
• Near-AdS${}_2$ Spectroscopy: classifying the spectrum of operators and interactions in $\mathcal{N}=2$ 4D supergravity