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arXiv 0901.0538hep-th
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五维极小超引力中黑洞的全息对偶

Holographic Duals of Black Holes in Five-dimensional Minimal Supergravity

Chiang-Mei Chen, John E. Wang

摘要:

研究了具有两个独立角动量的五维最小超引力中极端带电黑洞的对偶共形场论。计算了共形场论的维拉索罗代数、中心荷和温度。此外,利用Cardy公式计算了共形场论熵,并与Bekenstein-Hawking黑洞熵一致.中心荷与黑洞的角动量分量成正比。在五维和更高维中,时空的旋转对应于中心荷的旋转,导致了与每个黑洞的共形场论对偶相关的明显对称性。利用与总角动量成正比的旋转不变的中心荷讨论了超对称BMPV黑洞极限。

英文摘要:

We examine the dual conformal field theory for extremal charged black holes in five-dimensional minimal supergravity with 2 independent angular momenta. The conformal field theory Virasoro algebra, central charge, and temperature are calculated. Additionally the conformal field theory entropy is calculated using the Cardy formula and agrees with the Bekenstein-Hawking black hole entropy. The central charges are directly proportional to the angular momentum components of the black hole. In five and higher dimensions, rotations of the spacetime correspond to rotations of the central charges leading to an apparent symmetry relating the conformal field theories dual to each black hole. A rotationally invariant central charge, which is proportional to the total angular momentum, is used to discuss the supersymmetric BMPV black hole limits.

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