Kerr Black Holes From Massive Higher-Spin Gauge Symmetry

TL;DR

This paper explores how gauge symmetry constrains the dynamics of Kerr black holes and related solutions, proposing EFT constructions for any integer spin and predicting interactions using higher-spin gauge symmetry.

Contribution

It introduces a framework for constructing EFTs for Kerr black holes of any integer spin using Stueckelberg fields and predicts three-point amplitudes via higher-spin gauge symmetry.

Findings

Three-point Kerr amplitudes are uniquely predicted by higher-spin gauge symmetry.

The approach suggests an extended validity range for Kerr EFTs.

Contact-term constraints at spin 2 are discussed through Ward identities.

Abstract

We propose that the dynamics of Kerr black holes is strongly constrained by the principle of gauge symmetry. We initiate the construction of EFTs for Kerr black holes of any integer quantum spin s using Stueckelberg fields, and show that the known three-point Kerr amplitudes are uniquely predicted using massive higher-spin gauge symmetry. This symmetry is argued to be connected to an enhanced range of validity for the Kerr EFTs. We consider the closely related root-Kerr electromagnetic solution in parallel, for which the dynamical interactions with photons are also constrained by massive higher-spin gauge symmetry. Finally, the spin-s Compton amplitudes are analyzed, and we discuss contact-term constraints at s=2 from Ward identities.