SUSY in the sky with gravitons

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 (quadru...

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Veröffentlicht in:The journal of high energy physics 2022-01, Vol.2022 (1), p.1-38, Article 27
Hauptverfasser: Jakobsen, Gustav Uhre, Mogull, Gustav, Plefka, Jan, Steinhoff, Jan
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Sprache:eng
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Zusammenfassung: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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2022)027