Twofold hidden conformal symmetries of rotating charged Gödel black holes

Computer Science

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Scientific paper

In this paper, we show that there are two different individual 2D conformal field theories (CFTs) holographically dual to the rotating charged Gödel black hole. First, we consider the J-picture descriptions. For the charged rotating black holes in the five-dimensional Gödel universe, the J-picture descriptions are associated with two angular momenta. Then, we explore the supplementary holographic description, the Q-picture, based on the electric charge of the black hole. We consider the wave equation of a massless charged scalar field in our interesting background and show in the 'near-horizon region' that the wave equation can be reproduced by the SL(2, R)L × SL(2, R)R Casimir quadratic operators. Moreover, we compute the microscopic entropy of the dual CFT by the Cardy formula and find a perfect match to the Bekenstein-Hawking entropy of Kerr charged Gödel spacetimes. The absorption cross section of a near-region scalar field also matches the microscopic absorption cross section of the dual CFT.

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