Statistical entropy of the Kaluza-Klein black hole from the horizon conformal field theory

The statistical entropy of the Kaluza-Klein black hole is studied by counti ng the black hole states which form an algebra of diffeomorphism at Killing horizon with a central charge. It is shown that the entropy yielded by the standard Cardy formula agrees with the Bekenstein-Hawking entropy only if we take period T of function u as the periodicity of the Euclidean black ho le. On the other hand, the first-order quantum correction to the entropy is proportional to the logarithm of the Bekenstein-Hawking entropy with a fac tor -1/2.