论文标题
（旋转，扭曲，巨大）BTZ黑洞的混乱，相变和曲率不变性
Chaos, Phase Transitions and Curvature Invariants of (rotating, warped, massive) BTZ Black Holes
论文作者
论文摘要
结合了作者先前作品的几个结果，将在这里澄清三个主要的微妙之处。首先，类似于旋转的BTZ黑洞，我们展示了如何使用扭曲的BTZ黑洞，考虑有效温度的考虑可以解决看似不饱和的混乱问题。 Second, comparing the Hawking-Page phase diagrams of BTZ and warped BTZ black holes in the topologically massive gravity and new massive gravity theories, we show how the characteristics of the action would specify the behaviors of the chaos modes, and there we emphasize the importance of using the local and "physical" thermodynamical ensembles for studying the boundary chaos modes in warped CFTs and also the connections with the bulk重建。第三，我们提出，将模块化混乱饱和的边界模块化模式与几何侧的曲率不变性有关。
Combining several results from the previous works of the author, three main subtleties will be clarified here. First, similar to the rotating BTZ black holes, we show how for the warped BTZ black holes, the consideration of the effective temperatures could solve the seemingly unsaturation issue of the chaos bound. Second, comparing the Hawking-Page phase diagrams of BTZ and warped BTZ black holes in the topologically massive gravity and new massive gravity theories, we show how the characteristics of the action would specify the behaviors of the chaos modes, and there we emphasize the importance of using the local and "physical" thermodynamical ensembles for studying the boundary chaos modes in warped CFTs and also the connections with the bulk reconstruction. Third, we propose that the boundary modular scrambling modes which saturate the modular chaos bound are related to the curvature invariants in the geometrical side.
