  We present a one-function family of solutions to 4D vacuum Einstein
equations. While all diffeomorphic to the same extremal Kerr black hole, they
are labeled by well-defined conserved charges and are hence distinct
geometries. We show that this family of solutions forms a phase space the
symplectic structure of which is invariant under a $U(1)$ Kac-Moody algebra
generated by currents $\mathbb{J}_n$ and Virasoro generators $\mathbb{L}_n$
with central charge six times angular momentum of the black hole. This symmetry
algebra is well-defined everywhere in the spacetime, near the horizon or in the
asymptotic flat region. Out of the appropriate combination of $\mathbb{J}_n$
charges, we construct another Virasoro algebra at the same central charge.
Requiring that these two Virasoro algebras should describe the same system
leads us to a proposal for identifying extreme Kerr black hole microstates,
dubbed as extreme Kerr fluff. Counting these microstates, we not only correctly
reproduce the Bekenstein-Hawking entropy of extreme Kerr black hole, but also
its expected logarithmic corrections.
