Uplifting AdS3/CFT2 to flat space holography
Uplifting AdS3/CFT2 to flat space holography
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DOI：
10.1007/jhep08(2019)168
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发表时间：
2019-05
影响因子：
5.4
通讯作者：
A. Ball;E. Himwich;S. Narayanan;S. Pasterski;A. Strominger
中科院分区：
文献类型：
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作者：
A. Ball;E. Himwich;S. Narayanan;S. Pasterski;A. Strominger
四维(4D)平坦Minkowski空间允许双曲切片的分层。欧几里得ADS 3切片填充原点的过去和未来的光锥，而DS 3切片填充光锥外的区域。本文探讨了四维渐近平坦量子引力与ADS-3/CFT-2之间的联系。在扩展的BMS4群中的4D超旋转被发现充当3D双曲切片上熟悉的保角变换，将每个切片映射到其自身。相关的四维超旋转电荷是在协变相空间形式下构造的。软件部分给出了作用在双曲片边界处的天球上的2D应力张量，并被证明是常见的3D全息AD3应力张量的提升到4D。最后，我们发现4D量子引力包含一个意想不到的第二个共形软维(2，0)模，它与天体应力张量成对辛配对。
Four-dimensional (4D) flat Minkowski space admits a foliation by hyperbolicslices. Euclidean AdS 3 slices fill the past and future lightcones of the origin, while dS 3 slices fill the region outside the lightcone. The resulting link between 4D asymptotically flat quantum gravity and AdS 3/CFT 2 is explored in this paper. The 4D superrotations in the extended BMS 4 group are found to act as the familiar conformal transformations on the 3D hyperbolic slices, mapping each slice to itself. The associated 4D superrotation charge is constructed in the covariant phase space formalism. The soft part gives the 2D stress tensor, which acts on the celestial sphere at the boundary of the hyperbolic slices, and is shown to be an uplift to 4D of the familiar 3D holographic AdS 3 stress tensor. Finally, we find that 4D quantum gravity contains an unexpected second, conformally soft, dimension (2, 0) mode that is symplectically paired with the celestial stress tensor.