Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies

TL;DR

This paper extends a quantum field theory formalism to include quadratic spin effects in gravitational scattering of black holes, revealing a hidden supersymmetry and computing associated gravitational waveforms and radiation.

Contribution

It generalizes the worldline quantum field theory to quadratic order in spin and uncovers a hidden ${\mathcal N}=2$ supersymmetry in spinning black hole interactions.

Findings

Revealed a hidden ${\mathcal N}=2$ supersymmetry in spinning black hole scattering.

Computed gravitational waveforms exhibiting supersymmetry at leading order.

Derived expressions for radiated energy and angular momentum in specific frames.

Abstract

The recently established formalism of a worldline quantum field theory, which describes the classical scattering of massive bodies in Einstein gravity, is generalized up to quadratic order in spin -- for a pair of Kerr black holes revealing a hidden ${\mathcal N}=2$ supersymmetry. The far-field time-domain waveform of the gravitational waves produced in such a spinning encounter is computed at leading order in the post-Minkowskian (weak field, but generic velocity) expansion, and exhibits this supersymmetry. From the waveform we extract the leading-order total radiated angular momentum in a generic reference frame, and the total radiated energy in the center-of-mass frame to leading order in a low-velocity approximation.