论文标题
平面和天体全息图中的楔形全息图
Wedge Holography in Flat Space and Celestial Holography
论文作者
论文摘要
在本文中，我们根据楔形全息图研究了平面空间的两种全息图。我们建议，在$ d+1 $尺寸平坦的时空中的一个区域被世界玻璃体的两个末端包围，该区域由$ d $尺寸双曲线空间给出，这是对$ d-1 $尺寸尺寸球体上的综合场理论（CFT）双重的。同样，我们还建议在平坦的时空中的$ d+1 $维数区域，由两个$ d $ d $ dimensional de Sitter空间在$ d-1 $ dimensional Sphere上的CFT上全息是双重的。我们对分区函数，全息纠缠熵和两个点功能的计算，支持这些二元性关系，并暗示此类CFT是非一般的。最后，我们将这两个二元性沿无效表面粘合，以实现完整的Minkowski时空的两种全息图，并讨论与天体全息图的可能联系。
In this paper, we study codimension two holography in flat spacetimes, based on the idea of the wedge holography. We propose that a region in a $d+1$ dimensional flat spacetime surrounded by two end of the world-branes, which are given by $d$ dimensional hyperbolic spaces, is dual to a conformal field theory (CFT) on a $d-1$ dimensional sphere. Similarly, we also propose that a $d+1$ dimensional region in the flat spacetime bounded by two $d$ dimensional de Sitter spaces is holographically dual to a CFT on a $d-1$ dimensional sphere. Our calculations of the partition function, holographic entanglement entropy and two point functions, support these duality relations and imply that such CFTs are non-unitary. Finally, we glue these two dualities along null surfaces to realize a codimension two holography for a full Minkowski spacetime and discuss a possible connection to the celestial holography.
