Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-06-02
JHEP 1011:002,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
V3, typos corrected, version to appear in JHEP
Scientific paper
10.1007/JHEP11(2010)002
The hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion (EMDA) black holes is addressed in this paper. For the non-extreme one, employing the wave equation of massless scalars, the conformal symmetry with left temperature $T_{L}=\frac{M}{2\pi a}$ and right temperature $T_{R}=\frac{\sqrt{M^{2}-a^{2}}}{2\pi a}$ in the near region is found. The conformal symmetry is spontaneously broken due to the periodicity of the azimuthal angle. The microscopic entropy is derived by the Cardy formula and is fully in consistence with the Bekenstein-Hawking area-entropy law. The absorption cross section in the near region is calculated and exactly equals that in a 2D CFT. For the extreme case, by redefining the conformal coordinates, the duality between the solution space and CFT is studied. The microscopic entropy is found to exactly agree with the area-entropy law.
Chen Deyou
Wang Hui
Wu Houwen
Yang Haitang
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