  We point out that the entropies of black holes in general diffeomorphism
invariant theories, computed using the Kerr-CFT correspondence and the Wald
formula (as implemented in the entropy function formalism), need not always
agree. A simple way to illustrate this is to consider Einstein-Gauss-Bonnet
gravity in four dimensions, where the Gauss-Bonnet term is topological. This
means that the central charge of Kerr-CFT computed in the
Barnich-Brandt-Compere formalism remains the same as in Einstein gravity, while
the entropy computed using the entropy function gives a universal correction
proportional to the Gauss-Bonnet coupling. We argue that at least in this
example, the Kerr-CFT result is the physically reasonable one. The resolution
to this discrepancy might lie in a better understanding of boundary terms.
