  We construct a 2-dimensional CFT, in the form of a Liouville theory, in the
near horizon limit of 4- and 3-dimensional black holes. The near horizon CFT
assumes 2-dimensional black hole solutions first introduced by Christensen and
Fulling and expanded to a greater class of black holes via Robinson and
Wilczek. The 2-dimensional black holes admit a Diff($S^1$) subalgebra, which
upon quantization in the horizon limit becomes Virasoro with calculable central
charge. This charge and lowest Virasoro eigen-mode reproduce the correct
Bekenstein-Hawking entropy of the 4- and 3-dimensional black holes via the
known Cardy formula. Furthermore, the 2-dimensional CFT's energy momentum
tensor is anomalous. However, In the horizon limit the energy momentum tensor
becomes holomorphic equaling the Hawking flux of the 4- and 3-dimensional black
holes. This encoding of both entropy and temperature provides a uniformity in
the calculation of black hole thermodynamic and statistical quantities for the
non local effective action approach.
