We study the asymptotic Virasoro symmetry which acts on the near-horizon region of extremal four-dimensional black hole solutions of gravity theories with higher-derivative corrections, following the recently proposed Kerr/CFT correspondence. We demonstrate that its central charge correctly reproduces the entropy formula of Iyer-Wald, once the boundary terms in the symplectic structure are carefully chosen.
Two derivative Jackiw Teitelboim gravity theory captures the near horizon dynamics of higher dimensional near extremal black holes, which is governed by a Schwarzian action at the boundary in the near horizon region. The partition function corresponding to this boundary action correctly gives the statistical entropy of the near extremal black hole. In this paper, we study the thermodynamics of spherically symmetric four dimensional near extremal black holes in presence of arbitrary perturbative four derivative corrections. We find that the near horizon dynamics is again captured by a JT like a…
We derive formulas for the leading mass, entropy, and long-range self-force corrections to extremal black holes due to higher-derivative operators. These formulas hold for black holes with arbitrary couplings to gauge fields and moduli, provided that the leading-order solutions are static, spherically-symmetric, extremal, and have nonzero horizon area. To use these formulas, both the leading-order black hole solution and the higher-derivative effective action must be known, but there is no need to solve the derivative-corrected equations of motion. We demonstrate that the mass, entropy and sel…
我们考虑Kerr-Newman-AdS-dS黑洞的近极值，并计算出这些近极值黑洞的近视界几何.我们确定了近视界几何的精确U（1）_L x U（1）_R等距，并提供了边界条件，将它们增强到一对交换的维拉索罗代数.相应的渐近对称的守恒电荷被发现是很好的定义和非零的，并产生中心荷c_L \neq 0和c_R=0。卡迪公式随后再现了黑洞的贝肯斯坦-霍金熵。这表明近极值Kerr-Newman-AdS-dS黑洞与非手征二维共形场论是全息对偶的。
We analyze the near horizon symmetry of the extremal Kerr black hole within the framework of Poincaré gauge theory (PG) for two important limiting cases: Riemannian and teleparallel solution. We show that the algebra of canonical generators is realized by Virasoro algebra, with central charge which depends on the black hole horizon radius . The conformal entropy of the black hole is obtained via Cardy formula.
Kaluza-Klein theory, AdS/CFT correspondence and black hole entropy
通过反演卡鲁扎-克莱因约化得到的提升（近极值）Reissner-Nordstrom黑洞的近视界几何的渐近对称性解释了贝肯斯坦-霍金熵偏离极值的原因。我们指出的事实是，额外的维度使我们能够证明使用Virasoro模式分解沿类时边界的近视界几何，AdS $_2\times$ S $^n$，低维（Reissner-Nordstrom）时空。
Any unitary compact two-dimensional CFT with $c>1$ and no symmetries beyond Virasoro has a parametrically large density of primary states at large spin for $\bar{h}>\bar{h}_\text{extr}\sim \frac{c-1}{24}$, of a universal form determined by modular invariance. By including the contribution of light primary operators and multi-twist composites constructed from them in the modular bootstrap, we find that $\bar{h}_\text{extr}$ receives corrections in a large spin expansion, which we compute at finite $c$. The analysis uses a formulation of the modular S-transform as a Fourier transform acting on t…
Two-dimensional conformal field theories with Virasoro symmetry generically contain a Schwarzian sector. This sector is related to the near-horizon region of the near-extremal BTZ black hole in the holographic dual. In this work we generalize this picture to CFTs with higher spin conserved currents. It is shown that the partition function in the near-extremal limit agrees with that of BF higher spin gravity in AdS$_2$ which is described by a generalized Schwarzian theory. We also provide a spectral decomposition of Schwarzian partition functions via the $\mathcal{W}_N$ fusion kernel and consid…
We study the effect of higher-derivative corrections on asymptotically flat, four-dimensional, non-rotating dyonic black holes in low-energy models of gravity coupled to $N$ $U(1)$ gauge fields. For large extremal black holes, the leading $\mathcal{O}\left(1/Q^2\right)$ correction to the extremality bound is calculated from the most general low-energy effective action containing operators with up to four derivatives. Motivated by the multi-charge generalization of the Weak Gravity Conjecture, we analyze the necessary kinematic conditions for an asymptotically large extremal black hole to decay…
The Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) black hole is an influential solution of the low energy heterotic string theory. As it is well known, it presents a singular extremal limit. We construct a regular extension of the GMGHS extremal black hole in a model with $\mathcal{O}(α')$ corrections in the action, by solving the fully non-linear equations of motion. The de-singularization is supported by the $\mathcal{O}(α')$-terms. The regularised extremal GMGHS BHs are asymptotically flat, possess a regular (non-zero size) horizon of spherical topology, with an $AdS_2\times S^2$ near…
Extremal single-charge small black holes: Entropy function analysis
利用Sen的高阶导数引力熵函数理论，研究了仅带D 0-膜荷的IIA型球对称极值小黑洞的AdS_2 x S^8型拉伸视界.给出了一个标度论证，证明了这类黑洞的熵在大电荷下表现为\sqrt{|q|}，其中q为电荷.前导顺序的结果来自IIA弦循环校正。我们发现，对于解决方案存在的探针D 0-膜上的力已经消失，我们证明了这一功能坚持所有更高的衍生订单。我们评论这些解决方案的极值的性质和子领导的修正熵。本文还讨论了与我们的例子有关的其它小黑洞的熵。
Hidden global conformal symmetry without Virasoro extension in theory of elasticity
弹性理论（Theory of Elasticity）Riva-Cardy模型）被认为是尺度不变而非共形场论的一个例子。我们认为，在$d=2$尺寸，该理论隐藏了全球共形对称的$SL(2,\mathbb{R}) \times SL(2,\mathbb{R})$没有其Virasoro扩展。更精确地说，我们可以把位移矢量的所有关联函数嵌入到一个关于两个标量势变量的具有四阶导数作用的整体共形场论中，这必然违反反射正性。势变量的能量-动量张量不能改进为无迹的，因此即使存在全局特殊共形流，它也不表现出Virasoro对称性。
