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arXiv 1902.04078hep-thcond-mat.str-el
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AdS $_2$视界带电黑洞的普适低温理论

Universal low temperature theory of charged black holes with AdS$_2$ horizons

Subir Sachdev

摘要:

本文研究了零温度视界半径$R_h$的带电黑洞的低温量子理论,该黑洞处于远离视界的渐近AdS $_{D}$($D > 3$)时空中.在温度为$T \ll 1/R_h$时,近视界几何为AdS $_2$,黑洞由具有史瓦西作用量和与U(1)荷共轭的相模的时间同态的普适0+1维有效量子理论描述。我们从全$D$维Einstein-Maxwell理论出发,得到了这个普适的0+1维有效理论,同时保持了耦合的定量跟踪。有效理论的耦合被发现是在协议与那些预期的热力学的$D$维黑洞。

英文摘要:

We consider the low temperature quantum theory of a charged black hole of zero temperature horizon radius $R_h$, in a spacetime which is asymptotically AdS$_{D}$ ($D > 3$) far from the horizon. At temperatures $T \ll 1/R_h$, the near-horizon geometry is AdS$_2$, and the black hole is described by a universal 0+1 dimensional effective quantum theory of time diffeomorphisms with a Schwarzian action, and a phase mode conjugate to the U(1) charge. We obtain this universal 0+1 dimensional effective theory starting from the full $D$-dimensional Einstein-Maxwell theory, while keeping quantitative track of the couplings. The couplings of the effective theory are found to be in agreement with those expected from the thermodynamics of the $D$-dimensional black hole.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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