Codimension-two holography for wedges
Codimension-two holography for wedges
复制标题
DOI：
10.1103/physrevd.102.126007
复制
发表时间：
2020-07
影响因子：
5
通讯作者：
Abram Akal;Yuya Kusuki;T. Takayanagi;Zixia Wei
中科院分区：
文献类型：
--
作者：
Abram Akal;Yuya Kusuki;T. Takayanagi;Zixia Wei
我们提出了d+1维楔形时空的引力理论与位于楔形角的d-1维CFT之间的共维二维全息术。作为ADS/CFT的推广，我们解释了如何从引力出发计算双CFT的自由能、纠缠熵和关联函数。在这种楔形全息术中，通过双极小化过程计算了全息纠缠熵。特别是，对于四维引力(d=3)，我们得到了二维CFT，并且全息纠缠熵很好地再现了从全息共形反常中得到的已知结果。我们还讨论了一个低维的例子(d=2)，发现一个万有量自然地产生于引力，它类似于边界熵。此外，我们考虑了洛伦兹ADS中楔形区域上的重力，它与具有类空间边界的CFT是对偶的。我们描述了这种新的全息术，并通过对ADS/BCFT结构的Wick旋转计算了全息纠缠熵。通过保角映射，这个楔形时空被映射到一个几何图形中，在这个几何图形中，一个虚无的气泡在时间演化下膨胀。通过CFT计算，我们再现了这种引力对的全息纠缠熵。
We propose a codimension-two holography between a gravitational theory on a d+1 dimensional wedge spacetime and a d-1 dimensional CFT which lives on the corner of the wedge. Formulating this as a generalization of AdS/CFT, we explain how to compute the free energy, entanglement entropy and correlation functions of the dual CFTs from gravity. In this wedge holography, the holographic entanglement entropy is computed by a double minimization procedure. Especially, for a four dimensional gravity (d=3), we obtain a two dimensional CFT and the holographic entanglement entropy perfectly reproduces the known result expected from the holographic conformal anomaly. We also discuss a lower dimensional example (d=2) and find that a universal quantity naturally arises from gravity, which is analogous to the boundary entropy. Moreover, we consider a gravity on a wedge region in Lorentzian AdS, which is expected to be dual to a CFT with a spacelike boundary. We formulate this new holography and compute the holographic entanglement entropy via a Wick rotation of the AdS/BCFT construction. Via a conformal map, this wedge spacetime is mapped into a geometry where a bubble-of-nothing expands under time evolution. We reproduce the holographic entanglement entropy for this gravity dual via CFT calculations.