标题： 带电旋转黑洞的 CFT 相变分析：全息热力学方法$D=4$ 显示英文标题

标题： CFT Phase Transition Analysis of Charged, Rotating Black Holes in $D=4$: A Holographic Thermodynamics Approach

摘要： 我们研究了4维Kerr-Newman Anti-de Sitter (AdS) 黑洞的全息热力学，重点研究了与这些黑洞对偶的共形热态。 我们探讨了在特定系综中的热力学行为，这些系综由固定的变量集：$(\mathcal{Q},\mathcal{J},\mathcal{V},C)$、$(\mathcal{Q},\Omega,\mathcal{V},C)$、$(\varphi,\Omega,\mathcal{V},C)$、$(\varphi,\mathcal{J},\mathcal{V},C)$、$(\mathcal{Q},\Omega,p,C)$和$(\varphi,\Omega,p,C)$特征化。 这里，$\varphi$, $\mathcal{Q}$, $\Omega$, $\mathcal{J}$, $p$, $\mathcal{V}$和 $C$分别表示电势、电荷、角速度、角动量、CFT压力、CFT体积和中心电荷。 电荷和动量的引入显著丰富了相变的范围，导致了一系列现象的发生，包括一阶范德瓦尔斯型相变、（去）约束相变、戴维斯型相变以及二阶超流体$\lambda$型相变。 值得注意的是，引入共形场论压力变量使我们能够在$(\mathcal{Q},\Omega,p,C)$和$(\varphi,\Omega,p,C)$都系综中识别出相变和临界行为，而这些此前并未被观察到。 本研究强调了由于同时包含电荷和角动量，这些系统中的相变复杂性和丰富性。 显示英文摘要

摘要： We investigate the holographic thermodynamics of 4-D Kerr-Newman AdS black holes, focusing on the conformal thermal states that are dual to these black holes. We explore the thermodynamic behavior within specific ensembles characterized by fixed sets of variables: $(\mathcal{Q},\mathcal{J},\mathcal{V},C)$, $(\mathcal{Q},\Omega,\mathcal{V},C)$, $(\varphi,\Omega,\mathcal{V},C)$, $(\varphi,\mathcal{J},\mathcal{V},C)$, $(\mathcal{Q},\Omega,p,C)$, and $(\varphi,\Omega,p,C)$. Here, $\varphi$, $\mathcal{Q}$, $\Omega$, $\mathcal{J}$, $p$, $\mathcal{V}$, and $C$ represent the electric potential, electric charge, angular velocity, angular momentum, CFT pressure, CFT volume, and central charge, respectively. The inclusion of both charge and momentum significantly enriches the regime of phase transitions, leading to a variety of phenomena including first-order Van der Waals-type phase transitions, (de)confinement phase transitions, Davies-type phase transitions, and second-order superfluid $\lambda$-type phase transitions. Notably, the introduction of the CFT pressure variable allows us to identify phase transitions and critical behavior in the $(\mathcal{Q},\Omega,p,C)$ and $(\varphi,\Omega,p,C)$ ensembles, which had not been previously observed. This study underscores the complexity and richness of phase transitions in these systems due to the inclusion of both charge and angular momentum.