Generalized Einstein-Maxwell theory: Seeley-DeWitt coefficients and logarithmic corrections to the entropy of extremal and non-extremal black holes

一种新的渐近展开式的广义热核系数

Generalized Heat Kernel Coefficients for a New Asymptotic Expansion

该方法允许渐近展开的单回路有效作用W=ln detA制定。正定义的椭圆算子A= U + M^2依赖于外部经典场在内部对称群G的李代数中取值。与Schwinger-DeWitt的标准方法不同，在非简并质量矩阵M=diag（m1，m2，.）考虑了计算了新渐近级数的第一阶系数，并阐明了它们与Seeley-DeWitt系数的关系。

Diagram technique for the heat kernel of the covariant Laplace operator

We present a diagram technique used to calculate the Seeley-DeWitt coefficients for a covariant Laplace operator. We use the combinatorial properties of the coefficients to construct a matrix formalism and derive a formula for an arbitrary coefficient.

Einstein-Maxwell理论中的热核展开和极值Kerr-Newmann黑洞熵

Heat Kernel Expansion and Extremal Kerr-Newmann Black Hole Entropy in Einstein-Maxwell Theory

本文计算了任意背景场位形下爱因斯坦-麦克斯韦理论中度规场和规范场的动力学算符的第二Seely-DeWitt系数。然后，我们使用这个结果来计算对数修正的极端Kerr-Newmann黑洞的熵。

The Quantum Gravity Dynamics of Near Extremal Black Holes

We study the quantum effects of Near-Extremal black holes near their horizons. The gravitational dynamics in such backgrounds are closely connected to a particle in $AdS_2$ with constant electric field. We use this picture to solve the theory exactly. We will give a formula to calculate all correlation functions with quantum gravity backreactions as well as the exact Wheeler-DeWitt wavefunction. Using the WdW wavefunction, we investigate the complexity growth in quantum gravity.

弯曲时空上的单圈 Fierz-Pauli 理论及其反项

The Fierz-Pauli theory on curved spacetime at one-loop and its counterterms

本文利用 Stückelberg 表述、规范固定和热核方法计算弯曲时空中有质量自旋 2 场的前四个 Seeley-DeWitt 系数，核心贡献是任意维度下的 a_3(D)。

$U(1)^2$荷电STU超引力模型中Kerr-Newman黑洞族熵的对数修正

Logarithmic correction to the entropy of a Kerr-Newman family of black holes in $U(1)^2$-charged STU supergravity models

本研究针对STU超引力模型中的Kerr-Newman黑洞族熵的对数修正展开，通过两种欧几里得量子引力框架结合在壳热核Seeley-DeWitt展开计算，证实AdS$_4$下的修正具有非拓扑性质，为黑洞微观态研究提供更全面的红外窗口。

纠缠的优化取决于黑洞是否为极端

Optimization of entanglement depends on whether a black hole is extremal

本文研究在 Reissner-Nordström 黑洞时空中，通过调整 Unruh-DeWitt 探测器的跃迁能，可在极端与非极端背景下实现纠缠的最优化。

用Born-Infeld黑洞检验复杂性全息猜想

Testing Holographic Conjectures of Complexity with Born-Infeld Black Holes

在本文中，我们使用Born-Infeld黑洞来测试两个最近的全息图的复杂性，“复杂性=行动”（CA）对偶性和“复杂性=体积2.0”（CV）对偶性。在CA对偶中，边界态的复杂性与Wheeler-deWitt补丁的作用有关，而在CV对偶中，这种复杂性与WdW补丁的时空体积有关。特别是，我们检查是否玻恩-因菲尔德黑洞违反劳埃德界限：$\mathcal{\dot{C}\leq}\frac{2}{π\hbar}\left[ \left( M-QΦ\right) -\left( M-QΦ\right) _{\text{gs}}\right] $，其中gs代表基态为一个给定的静电势。我们发现，基态要么是极端的黑洞，要么是带非零电荷的规则时空。在极端性附近，两个对偶都违反了劳埃德界。在荷电正则时空附近，这个界在CV对偶中满足，但在CA对偶中不满足。当在恒势曲线上远离基态时，在CA对偶中，Lloyd束缚趋于从下面饱和，而在CV对偶中，$\mathcal{\dot{C}}$是Lloyd束缚的$π/2$倍。

全息复杂性、极端性与宇宙审查

Computational Cosmic Censorship

提出全息复杂性解释黑洞力学第三定律和弱宇宙审查，发现次极端与极端黑洞的相对复杂性对数发散，阻止有限时间转变。

Gauss-Bonnet引力中的广义体积复杂度：约束与相变

Generalized Volume Complexity in Gauss-Bonnet Gravity: Constraints and Phase Transitions

本研究探讨了Gauss-Bonnet黑洞的“complexity=anything”提议，证明四维下广义体积晚期线性增长的普适性，并分析了高维失效、极值曲面相变及五维耦合参数约束。

Holographic complexity of rotating black holes with conical deficits

Based on the complexity equals action (CA) and complexity equals volume (CV) conjectures, we investigate the holographic complexity of a slowly accelerating Kerr-AdS black hole in the bulk Einstein gravity theory which is dual to holographic states with rotation and conical deficits in the boundary quantum system. Upon obtaining an implicit form of the Wheeler-DeWitt patch, we evaluate the action and show that the growth rate of the CA complexity violates volume-scaling formulation in large black hole limit due to the non-trivial contribution from the not-too-small acceleration of the black ho…

Entanglement Amplification from Rotating Black Holes

The quantum vacuum has long been known to be characterized by field correlations between spacetime points. These correlations can be swapped with a pair of particle detectors, modelled as simple two-level quantum systems (Unruh-DeWitt detectors) via a process known as entanglement harvesting. We study this phenomenon in the presence of a rotating BTZ black hole, and find that rotation can significantly amplify the harvested vacuum entanglement. Concurrence between co-rotating detectors is amplified by as much as an order of magnitude at intermediate distances from the black hole relative to th…

量子修正与有效黑洞几何中的真空极化：一种高性能方法

Vacuum Polarization in Quantum-Corrected and Effective Black Hole Geometries: a High Performance Approach

该研究采用高性能代码，计算了五种正则黑洞外部的重整化标量真空极化，揭示了量子变形对极化的调控规律及近极端 regime的独特量子几何效应，结果在经典极限下与史瓦西黑洞一致。