2014/03/31 by Robert C. Myers, Junjie Rao, Sotaro Sugishita · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep06(2014)044
published as JHEP 1406 (2014) 044 · 46 pages, 17 figures, 1 appendix
arxiv created 2014/07/25 · arxiv updated 2014/10/20
We extend the holographic construction from AdS3 to higher dimensions. In particular, we show that the Bekenstein-Hawking entropy of codimension-two surfaces in the bulk with planar symmetry can be evaluated in terms of the 'differential entropy' in the boundary theory. The differential entropy is a certain quantity constructed from the entanglement entropies associated with a family of regions covering a Cauchy surface in the boundary geometry. We demonstrate that a similar construction based on causal holographic information fails in higher dimensions, as it typically yields divergent results. We also show that our construction extends to holographic backgrounds other than AdS spacetime and can accommodate Lovelock theories of higher curvature gravity.