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arXiv · 2109.04465

SUSY in the Sky with Gravitons

Gustav Uhre Jakobsen·Gustav Mogull·Jan Plefka·Jan Steinhoff
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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.

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Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, Jan Steinhoff. 2022-03-01. SUSY in the Sky with Gravitons. https://doi.org/10.1007/jhep01(2022)027

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