Towards a reconstruction of general bulk metrics. (8th December 2016)

• Record Type: Journal Article
• Authors: Engelhardt, Netta; Horowitz, Gary T
• Is Part Of: Classical and quantum gravity. Volume 34:Number 1(2017:Jan.)
• Publication Date: 2016-12-08
• Subjects: holography -- AdS/CFT -- bulk reconstruction -- emergent spacetime; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/34/1/015004
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: We prove that the metric of a general holographic spacetime can be reconstructed (up to an overall conformal factor) from distinguished spatial slices—'light-cone cuts'—of the conformal boundary. Our prescription is covariant and applies to bulk points in causal contact with the boundary. Furthermore, we describe a procedure for determining the light-cone cuts corresponding to bulk points in the causal wedge of the boundary in terms of the divergences of correlators in the dual field theory. Possible extensions for determining the conformal factor and including the cuts of points outside of the causal wedge are discussed. We also comment on implications for subregion/subregion duality.