Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions

Abstract

We study the hidden conformal symmetry of four-dimensional extremal Kaluza-Klein black hole. The scalar Laplacian corresponding to the radial equation in the near-region is rewritten in terms of the $SL(2,\mathbb{R})$ quadratic Casimir. Using the first law of black hole thermodynamics, this symmetry enables us to obtain the conjugate charges for the CFT side. The real-time correlators are also found to agree with the CFT expectations.

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• Holographic description of three dimensional Godel black hole
• Accelerating Kaluza-Klein black hole and Kerr/CFT correspondence