Speaker: Dogan Akpinar

Title: An On-Shell Approach to Symmetries and Integrability for Kerr Black Hole Scattering

Abstract:Recent years have seen significant progress in computing scattering observables for spinning black holes at high Post-Minkowskian orders, using both amplitude-based and worldline-based approaches. In this talk, we build on these developments to explore the integrability properties of Kerr black hole scattering, both in the probe limit and beyond. We begin by reviewing the radial action and the recently introduced Dirac bracket formalism, which together allow us to define a notion of asymptotic integrability. Using these tools, we show that this integrability persists to higher orders in spin than previously established. Finally, we present a new perspective on spin-shift symmetry—a striking and still not fully understood property of spinning amplitudes—and demonstrate how, when combined with integrability constraints, it enables a powerful bootstrap of the radial action.