Holographic dual of the dyonic Reissner-Nordström black hole

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Abstract
It is shown that the hidden conformal symmetry, namely SO(2,2)$\sim${}SL(2,R)L\ifmmode\times\else\texttimes\fi{}SL(2,R)R symmetry, of the nonextremal dyonic Reissner-Nordstr\"om black hole can be probed by a charged massless scalar field at low frequencies. The existence of such hidden conformal symmetry suggests that the field theory holographically dual to the four-dimensional Reissner-Nordstr\"om black hole indeed should be a two-dimensional conformal field theory (CFT). Although the associated AdS3 structure does not explicitly appear in the near horizon geometry, the primary parameters of the dual CFT2 can be exactly obtained without the necessity of embedding the four-dimensional Reissner-Nordstr\"om black hole into five-dimensional spacetime. The duality is further supported by comparing the absorption cross sections and real-time correlators obtained from both the CFT and the gravity sides.

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