  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)x SL(2,R) algebras.
We identify limits in which the SL(2,R)xSL(2,R) algebra contracts to an SL(2,R)
symmetry of the Schwarzschild background. We note that for a particular value
of our new free parameter, the symmetry algebra generates the quasinormal 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.
