Stationary, axisymmetric Kerr perturbations carry an exact SL(2,R) conformal symmetry, and its representation structure forbids tidal response: black hole Love numbers vanish.
II shows that perturbations of a Kerr black hole exhibit an emergent conformal symmetry in the stationary and axisymmetric limit
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Why there is no Love in black holes
Stationary, axisymmetric Kerr perturbations carry an exact SL(2,R) conformal symmetry, and its representation structure forbids tidal response: black hole Love numbers vanish.