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A new holographic duality named Kerr/CFT correspondence was recently proposedto derive the statistical entropy of four-dimensional extremal Kerr black holesvia identifying the quantum states in the near-horizon region with those oftwo-dimensional conformal field theory living on the boundary. In this paper,we apply this method to investigate five-dimensional extremal Kerr andCveti\v{c}-Youm black holes with squashed horizons in different coordinates andfind that the near-horizon geometries are not affected by the squashingtransformation. Our investigation shows that the microscopic entropies are inagreement with those given by Bekenstein-Hawking formula. In addition, we havealso investigated thermodynamics of the general non-extremal Cveti\v{c}-Youmblack holes with squashed horizons.

Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons