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Kerr Black Holes From Massive Higher-Spin Gauge Symmetry

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arxiv 2212.06120 v2 pith:JL2UYUZL submitted 2022-12-12 hep-th gr-qc

classification hep-thgr-qc
keywords kerrsymmetrygaugeblackhigher-spinholesmassiveamplitudes
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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Cited by 10 Pith papers

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