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We construct a family of vector fields that generate local symmetries in the
solution space of low frequency massless field perturbations in the general Kerr
geometry. This yields a one-parameter family of sl(2, R) × sl(2, R) algebras.
We identify limits in which the sl(2, R) × sl(2, R) algebra contracts to an
SL(2, R) symmetry of the Schwarzschild background. We note that for a par-
ticular value of the free parameter, the symmetry algebra generates
the quasinor-mal mode spectrum of a Kerr black hole in the large damping limit, suggesting
a connection between the hidden conformal symmetry and a fundamental CFT
underlying the quantum Kerr black hole.
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