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arXiv 2106.09730hep-thgr-qc
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AdS $_5$中旋转黑洞和黑弦熵的对数修正

Logarithmic Corrections to the Entropy of Rotating Black Holes and Black Strings in AdS$_5$

Marina David, Alfredo González Lezcano, Jun Nian, Leopoldo A. Pando Zayas

摘要:

本文研究了超对称、旋转、渐近AdS $_5$黑洞和黑弦的熵的对数修正。在AdS/CFT对应的框架内,这些黑色物体的熵在场论方面分别由$\mathcal{N}=4$超对称杨-米尔斯理论的超共形指数和精细拓扑扭曲指数确定。我们从场论的配分函数中读出对数修正。在引力方面,我们采取近视界极限,并应用Kerr/CFT对应,其相关的带电Cardy公式描述了次领先阶的状态简并性,并确定了对熵的对数校正。我们发现这两种方法完全一致。我们的研究结果提供了一个窗口到精确的微观状态计数,并证明了低能量,基于能量的方法,如克尔/CFT对应渐近AdS黑色物体在一定条件下的有效性。

英文摘要:

We investigate logarithmic corrections to the entropy of supersymmetric, rotating, asymptotically AdS$_5$ black holes and black strings. Within the framework of the AdS/CFT correspondence, the entropy of these black objects is determined, on the field theory side, by the superconformal index and the refined topologically twisted index of $\mathcal{N}=4$ supersymmetric Yang-Mills theory, respectively. We read off the logarithmic correction from those field-theoretic partition functions. On the gravity side, we take the near-horizon limit and apply the Kerr/CFT correspondence whose associated charged Cardy formula describes the degeneracy of states at subleading order and determines the logarithmic correction to the entropy. We find perfect agreement between these two approaches. Our results provide a window into precision microstate counting and demonstrate the efficacy of low-energy, symmetry-based approaches such as the Kerr/CFT correspondence for asymptotically AdS black objects under certain conditions.

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