AdS/Ricci-flat correspondence
AdS/Ricci-flat correspondence
复制标题
DOI：
10.1007/jhep04(2014)071
复制
发表时间：
2013-12
影响因子：
5.4
通讯作者：
M. Caldarelli;J. Camps;B. Goutéraux;Kostas Skenderis
中科院分区：
文献类型：
--
作者：
M. Caldarelli;J. Camps;B. Goutéraux;Kostas Skenderis
我们对 AdS/Ricci 平坦对应关系进行了全面分析，这是一类渐近局部 AdS 时空和一类 Ricci 平坦时空之间的映射。我们提供了该图的详细推导，讨论了许多扩展并将其应用于许多重要的示例，例如圆环上的 AdS、AdS 黑膜和流体/重力度量。特别是，该对应关系将渐近平坦的黑色 p 膜或 Rindler 流体的流体动力学状态与 AdS 的流体动力学状态联系起来。这意味着此类 Ricci 平坦时空继承了 AdS 的广义共形对称性并具有全息结构。我们通过分析地图如何作用于边界条件和全息 2 点函数来开始对全息的讨论。
We present a comprehensive analysis of the AdS/Ricci-flat correspondence, a map between a class of asymptotically locally AdS spacetimes and a class of Ricci-flat spacetimes. We provide a detailed derivation of the map, discuss a number of extensions and apply it to a number of important examples, such as AdS on a torus, AdS black branes and fluids/gravity metrics. In particular, the correspondence links the hydrodynamic regime of asymptotically flat black p-branes or the Rindler fluid with that of AdS. It implies that this class of Ricci-flat spacetimes inherits from AdS a generalized conformal symmetry and has a holographic structure. We initiate the discussion of holography by analyzing how the map acts on boundary conditions and holographic 2-point functions.