Kerr Black Holes from Massive Higher-Spin Gauge Symmetry
Lucile Cangemi (Department of Physics and Astronomy, Uppsala University, Box 516, 75120 Uppsala, Sweden); Marco Chiodaroli (Department of Physics and Astronomy, Uppsala University, Box 516, 75120 Uppsala, Sweden); Henrik Johansson (Department of Physics and Astronomy, Uppsala University, Box 516, 75120 Uppsala, Sweden, Nordita, Stockholm University and KTH Royal Institute of Technology, Hannes Alfvéns väg 12, 10691 Stockholm, Sweden); Alexander Ochirov (London Institute for Mathematical Sciences, Royal Institution, 21 Albemarle St, London W1S 4BS, United Kingdom, Mathematical Institute, University of Oxford, Woodstock Rd, Oxford OX2 6GG, United Kingdom); Paolo Pichini (Department of Physics and Astronomy, Uppsala University, Box 516, 75120 Uppsala, Sweden); et al - Show all 6 authors
We propose that the dynamics of Kerr black holes is strongly constrained by the principle of gauge symmetry. We initiate the construction of effective field theories for Kerr black holes of any integer quantum spin using Stückelberg 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 effective field theories. 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- Compton amplitudes are analyzed, and we discuss contact-term constraints at from Ward identities.
