Journal
PHYSICAL REVIEW D
Volume 102, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.102.126007
Keywords
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Funding
- Japan Society for the Promotion of Science (JSPS)
- Alexander von Humboldt (AvH) foundation
- Simons Foundation through the It from Qubit collaboration
- Inamori Research Institute for Science
- JSPS [18K18766, 18J22495, 19F19813]
- ANRI Fellowship [20J23116]
- World Premier International Research Center Initiative (WPI Initiative) from the Japan Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- Grants-in-Aid for Scientific Research [19F19813, 18J22495] Funding Source: KAKEN
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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.
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