论文标题
乌龟与野兔：广告/CFT中的因果关系难题
The Tortoise and the Hare: A Causality Puzzle in AdS/CFT
论文作者
论文摘要
我们在ADS/CFT中明显违反因果关系构成并解决了全息拼图。如果$ ads $的大部分点以光速移动，则可能需要用近光移动以保持的边界区域。以$ ADS_3 $作为我们的主要示例，我们证明编码区域的有限范围可以防止悖论。我们表明，最小尺寸的编码间隔的长度会引起$ \ Mathrm {ads} $的乌龟坐标，该坐标可以测量编码的非元素。我们使用此坐标来探索整体中的圆形和径向运动，然后再将其分析分析散装无效测量学。对于这些无效的大地测量学，几乎无法避免可能违反因果关系的关键编码。我们表明，在任何其他编码中，可能的违规行为是亚临界的。
We pose and resolve a holographic puzzle regarding an apparent violation of causality in AdS/CFT. If a point in the bulk of $AdS$ moves at the speed of light, the boundary subregion that encodes it may need to move superluminally to keep up. With $AdS_3$ as our main example, we prove that the finite extent of the encoding regions prevents a paradox. We show that the length of the minimal-size encoding interval gives rise to a tortoise coordinate on $\mathrm{AdS}$ that measures the nonlocality of the encoding. We use this coordinate to explore circular and radial motion in the bulk before passing to the analysis of bulk null geodesics. For these null geodesics, there is always a critical encoding where the possible violation of causality is barely avoided. We show that in any other encoding, the possible violation is subcritical.
