  We study the near horizon geometry of generic Killing horizons constructing
suitable coordinates and taking the appropriate scaling limit. We are able to
show that the geometry will always show an enhancement of symmetries, and, in
the extremal case, will develop a causally disconnected "throat" as expected.
We analyze the implications of this to the Kerr/CFT conjecture and the
attractor mechanism. We are also able to construct a set of special (pure)
spinors associated with the horizon structure using their interpretation as
maximally isotropic planes. The structure generalizes the usual reduced
holonomy manifold in an interesting way and may be fruitful to the search of
new types of compactification backgrounds.
