Near extremal black hole entropy as entanglement entropy via AdS 2 / CFT 1
Near extremal black hole entropy as entanglement entropy via AdS 2 / CFT 1
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DOI：
10.1103/physrevd.77.064005
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发表时间：
2007-10
影响因子：
5
通讯作者：
T. Azeyanagi;T. Nishioka;T. Takayanagi
中科院分区：
文献类型：
--
作者：
T. Azeyanagi;T. Nishioka;T. Takayanagi
指出（近）极值黑洞的熵可以通过AdS{sub 2}/CFT{sub 1}解释为对偶共形量子力学的纠缠熵.作为一个明确的例子，我们研究了接近极值的Banados-Teitelboim-Zanelli黑洞，并从AdS{sub 3}/CFT{sub 2}导出了这一结论。我们还解析地计算了有限温度下紧化在圆上的自由狄拉克费米子的二维CFT中的纠缠熵。从这个结果中，我们澄清了热熵和纠缠熵之间的关系，这是必要的纠缠解释黑洞熵。
We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS{sub 2}/CFT{sub 1}. As an explicit example, we study near extremal Banados-Teitelboim-Zanelli black holes and derive this claim from AdS{sub 3}/CFT{sub 2}. We also analytically compute the entanglement entropy in the two dimensional CFT of a free Dirac fermion compactified on a circle at finite temperature. From this result, we clarify the relation between the thermal entropy and entanglement entropy, which is essential for the entanglement interpretation of black hole entropy.