论文标题
量子BTZ黑洞
Quantum BTZ black hole
论文作者
论文摘要
我们研究了量子旋转BTZ黑洞的全息构建，该量子融合了强耦合量子共形场的确切反应。它基于一个精确的四维解决方案，用于在几年前首次讨论的ADS $ _4 $的黑洞定位于ADS $ _4 $的勃雷孔，但从未以这种方式进行完全研究。除了量子CFT效应及其反应外，我们还研究了高曲率校正在有效的三维理论中的作用。我们获得了量子校正的几何形状和重新归一化的应力张量。我们表明，包括地平线外的田地的量子黑洞熵，即使在存在反应和较高的纯度校正的情况下，也完全满足了热力学的第一定律，而Bekenstein-Hawking-Wald熵也不是。该结果涉及一个相当不平凡的批量计算，它显示了Braneworlds全息解释的一致性。我们将重新归一化的应力张量与自由形成型场得出的结果进行了比较，并且对于先前的全息构建而没有反向反应效应，这被证明是本文中解决方案的限制。
We study a holographic construction of quantum rotating BTZ black holes that incorporates the exact backreaction from strongly coupled quantum conformal fields. It is based on an exact four-dimensional solution for a black hole localized on a brane in AdS$_4$, first discussed some years ago but never fully investigated in this manner. Besides quantum CFT effects and their backreaction, we also investigate the role of higher-curvature corrections in the effective three-dimensional theory. We obtain the quantum-corrected geometry and the renormalized stress tensor. We show that the quantum black hole entropy, which includes the entanglement of the fields outside the horizon, satisfies the first law of thermodynamics exactly, even in the presence of backreaction and with higher-curvature corrections, while the Bekenstein-Hawking-Wald entropy does not. This result, which involves a rather non-trivial bulk calculation, shows the consistency of the holographic interpretation of braneworlds. We compare our renormalized stress tensor to results derived for free conformal fields, and for a previous holographic construction without backreaction effects, which is shown to be a limit of the solutions in this article.
