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 the density of primary states. For theories with gravitational duals, $\bar{h}_\text{extr}$ is interpreted as the extremality bound of rotating BTZ black holes, receiving quantum corrections which we compute at one loop by prohibiting naked singularities in the quantum-corrected geometry. This gravity result is reproduced by modular bootstrap in a semiclassical $c\to\infty$ limit.
Mass inflation and strong cosmic censorship in a non-extreme BTZ black hole
利用Ori模型研究了旋转BTZ黑洞的质量暴胀现象，并证明了BTZ黑洞的右柯西视界（$\mathcal{CH}^+_R$）变得奇异.受Dias，Reall，Santos [J. High Energy Phys. 12（2019）097]最近分析的启发，我们选择逆行准正规模式来控制黑洞外部扰动的衰减。由此产生的模型捕捉到了极端附近的强宇宙审查猜想的违反。另一方面，远离极值，BTZ黑洞的$\mathcal{CH}^+_R$发展出弱零奇性。我们的分析表明，一个缓慢旋转的BTZ黑洞将尊重强宇宙审查。
Universal thermodynamic relations with constant corrections for rotating AdS black holes
在[Phys. Rev. Lett. 124，101103（2020）]，提出了熵修正与极值之间的普适关系。这个关系也被发现对四维带电的AdS黑洞完全成立。在本文中，我们将研究扩展到旋转BTZ和Kerr-AdS黑洞时，常数修正的广义相对论被认为是第一次。计算了熵和极值界，它们与常数修正耦合参数有密切的依赖关系。我们确认了旋转AdS黑洞的普适关系。此外，考虑到角动量的移动，我们确定了一个新的普遍关系的旋转情况。特别地，我们陈述了一个关于普适关系的猜想，它给出了任意黑洞背景下移动的热力学量之间的普适猜想关系。我们相信，这些普遍关系将为量子引力的研究提供新的线索。
Logarithmic corrections to the entropy of near-extremal rotating black holes
Indian Institute of Science Education and Research Bhopal（印度科学教育研究所博帕尔分校）；International Centre for Theoretical Sciences - TIFR Bengaluru（理论科学国际中心 - 提弗尔大学班加罗尔）
