Minimal spin deflection of Kerr-Newman and Supersymmetric black hole

TL;DR

This paper investigates how minimal couplings influence spin dynamics in Kerr-Newman and supersymmetric black holes, revealing maximal spin-flip suppression at extremal limits and implications for black hole scattering behavior.

Contribution

It demonstrates the suppression of spin-flipping components in the S-matrix for charged and supersymmetric black holes, extending minimal coupling analysis to these cases.

Findings

Spin-flip suppression occurs in Kerr-Newman and supersymmetric black holes.

Maximal suppression is observed at extremal limits.

The phenomenon links to the classical limit of minimal couplings.

Abstract

Recent studies have shown that minimal couplings for massive spinning particles, which in the classical limit reproduce the leading PM Kerr black hole dynamics, leads to an Eikonal S-matrix exhibiting spin-entanglement suppression. In this paper we trace this phenomenon to the suppression of spin-flipping components in the S-matrix, known to be the hallmark of minimal coupling in the ultra-relativistic limit. We further generalize the consideration to charged and $\mathcal{N}=4$ black holes, demonstrating that in both cases maximal suppression occurs at the extremal limit.