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arXiv · 1006.4092

On Holographic Dual of the Dyonic Reissner-Nordström Black Hole

Chiang-Mei Chen·Ying-Ming Huang·Jia-Rui Sun·Ming-Fan Wu·Shou-Jyun Zou
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Abstract

It is shown that the hidden conformal symmetry, namely $SO(2,2) \sim SL(2,R)_L \times SL(2,R)_R$ symmetry, of the non-extremal dyonic Reissner-Nordström 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 4D Reissner-Nordström black hole indeed should be a 2D CFT. Although the associated AdS$_3$ structure does not explicitly appear in the near horizon geometry, the primary parameters of the dual CFT$_2$ can be exactly obtained without the necessity of embedding the 4D Reissner-Nordström black hole into 5D 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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Chiang-Mei Chen, Ying-Ming Huang, Jia-Rui Sun, Ming-Fan Wu, Shou-Jyun Zou. 2010-06-30. On Holographic Dual of the Dyonic Reissner-Nordström Black Hole. https://doi.org/10.1103/physrevd.82.066003

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