SUSY in the Sky with Gravitons

Abstract

Picture yourself in the wave zone of a gravitational scattering event of two massive, spinning compact bodies (black holes, neutron stars or stars). We show that this system of genuine astrophysical interest enjoys a hidden $\mathcal{N}=2$ supersymmetry, at least to the order of spin-squared (quadrupole) interactions in arbitrary $D$ spacetime dimensions. Using the $\mathcal{N}=2$ supersymmetric worldline action, augmented by finite-size corrections for the non-Kerr black hole case, we build a quadratic-in-spin extension to the worldline quantum field theory (WQFT) formalism introduced in our previous work, and calculate the two bodies' deflection and spin kick to sub-leading order in the post-Minkowskian expansion in Newton's constant $G$. For spins aligned to the normal vector of the scattering plane we also obtain the scattering angle. All $D$-dimensional observables are derived from an eikonal phase given as the free energy of the WQFT, that is invariant under the $\mathcal{N}=2$ supersymmetry transformations.

41 pages including references

References in corpus (35)

• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Classical black hole scattering from a worldline quantum field theory
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
• The Eikonal Approach to Gravitational Scattering and Radiation at $\mathcal{O}(G^3)$
• Radiative contribution to classical gravitational scattering at the third order in $G$
• Universality of ultra-relativistic gravitational scattering
• Gravitational Bremsstrahlung from Reverse Unitarity
• Radiation Reaction from Soft Theorems
• Gravitational spin Hamiltonians from the S matrix
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Sixth post-Newtonian local-in-time dynamics of binary systems
• Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
• Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
• Radiative contributions to gravitational scattering
• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Leading Nonlinear Tidal Effects and Scattering Amplitudes
• Detection Rate Estimates of Gravity-waves Emitted During Parabolic Encounters of Stellar Black Holes in Globular Clusters
• Spin induced multipole moments for the gravitational wave flux from binary inspirals to third Post-Newtonian order
• Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order
• A worldsheet for Kerr
• From amplitudes to gravitational radiation with cubic interactions and tidal effects
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions
• Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory
• A new gauge-invariant double copy for heavy-mass effective theory
• Towers of Gravitational Theories
• Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order
• The 6th Post-Newtonian Potential Terms at $O(G_N^4)$
• Tidal effects for spinning particles
• Gravitational Wave observatories may be able to detect hyperbolic encounters of Black Holes
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
• Efficient resummation of high post-Newtonian contributions to the binding energy
• New Techniques for Worldline Integration
• Classical gravitational scattering from a gauge-invariant double copy

Cited by in corpus (28)

• Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• Binary Dynamics Through the Fifth Power of Spin at $\mathcal{O}(G^2)$
• Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^2{S}^{\infty })$
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion
• Scattering Angles in Kerr Metrics
• Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion
• Gravitational Faraday effect from on-shell amplitudes
• Scattering of gravitational waves off spinning compact objects with an effective worldline theory
• Light bending from eikonal in worldline quantum field theory
• Black Holes in Klein Space
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• Classical off-shell currents
• Binary Dynamics from Worldline QFT for Scalar-QED
• Large Gauge Effects and the Structure of Amplitudes
• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Machine Learning Post-Minkowskian Integrals
• Scrambling and Entangling Spinning Particles
• On kinetic theories with color and spin from amplitudes
• Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order