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.
Highlights
Background field symmetriesInvariance of the action under the SUSY transformations (2.19), the U(1) symmetry (2.20) and translation invariance along the worldline has physical consequences for these observables derived from the eikonal phase
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
Using this equivalence we have shown how quadratic-in-spin effects may be incorporated into the worldline quantum field theory (WQFT) prescription for scattering massive bodies in a curved background [1]
Summary
Extending the WQFT to include spin calls for a worldline theory of a relativistic spinning particle. We review the first-order formulation of spinning particle actions where spin is represented by anti-commuting vector fields. Our main focus is the N = 2 supersymmetric theory in a generic curved background, which represents massive spinning bodies up to quadratic order in spin
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
