Integrability of Black Hole Orbits in Maximal Supergravity

Abstract

We study the dynamics of a pair of extremal (half-BPS) black holes in $\mathcal{N}=8$ supergravity, as a potentially solvable model of gravitational dynamics. As a diagnosis of hidden symmetries, we ask whether the perihelion of the orbits precesses over time. We consider black hole charge vectors with arbitrary misalignment. First, we use scattering amplitude methods to compute the leading post-Newtonian correction for general mass ratios. This computation is greatly simplified by introducing a suitable on-shell superspace. Second, we study the probe limit to all orders in velocity and Newton's constant through a ten-dimensional brane setup. In all cases we find no precession. We relate this to the absence of scalar triangle integrals.

arXiv comment31+10 pages, 5 figures, typos fixed

References in corpus (43)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Large N Field Theories, String Theory and Gravity
• Unity of Superstring Dualities
• Effective one-body approach to general relativistic two-body dynamics
• General relativity as an effective field theory: The leading quantum corrections
• New Relations for Gauge-Theory Amplitudes
• Review of AdS/CFT Integrability: An Overview
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
• An Effective Field Theory of Gravity for Extended Objects
• Effective field theories for heavy quarkonium
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• What is the Simplest Quantum Field Theory?
• On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
• The Effective Field Theorist's Approach to Gravitational Dynamics
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• General Relativity from Scattering Amplitudes
• Exact solutions for supersymmetric stationary black hole composites
• Quantum Quivers and Hall/Hole Halos
• Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
• Perturbative Quantum Gravity and its Relation to Gauge Theory
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
• Holomorphic Classical Limit for Spin Effects in Gravitational and Electromagnetic Scattering
• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• The Ultraviolet Properties of N=4 Supergravity at Four Loops
• Bending of Light in Quantum Gravity
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant
• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• The No-Triangle Hypothesis for N=8 Supergravity
• TASI lectures on black holes in string theory
• Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry
• On the four-loop static contribution to the gravitational interaction potential of two point masses
• Solvable Relativistic Hydrogenlike System in Supersymmetric Yang-Mills Theory
• Supergoop Dynamics
• Mechanics and Quantum Supermechanics of a Monopole Probe Including a Coulomb Potential
• The Perfect Atom: Bound States of Supersymmetric Quantum Electrodynamics
• Relativistic Runge-Lenz vector: from $\mathcal{N}=4$ SYM to SO(4) scalar field theory
• Leading anomalies, the drift Hamiltonian and the relativistic two-body system

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• Scattering Amplitudes for Monopoles: Pairwise Little Group and Pairwise Helicity
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• Yang-Mills observables: from KMOC to eikonal through EFT
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