Codimension-two holography for wedges

被引:110
作者
Akal, Ibrahim [1 ]
Kusuki, Yuya [1 ]
Takayanagi, Tadashi [1 ,2 ,3 ]
Wei, Zixia [1 ]
机构
[1] Kyoto Univ, Ctr Gravitat Phys, Yukawa Inst Theoret Phys, Sakyo Ku, Kitashirakawa Oiwakecho, Kyoto 6068502, Japan
[2] Inamori Res Inst Sci, Shimogyo Ku, 620 Suiginya Cho, Kyoto 6008411, Japan
[3] Univ Tokyo, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778582, Japan
基金
日本学术振兴会;
关键词
GRAVITATIONAL ACTION; SITTER SPACE;
D O I
10.1103/PhysRevD.102.126007
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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 CFI's 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.
引用
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页数:28
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