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Journal Article
SUSY in the sky with gravitons
2022
Overview
A
bstract
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
N
= 2 supersymmetry, at least to the order of spin-squared (quadrupole) interactions in arbitrary
D
spacetime dimensions. Using the
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
N
= 2 supersymmetry transformations.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
