2014/06/30 by Bartlomiej Czech, Xi Dong, James Sully · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep11(2014)015
published as JHEP 1411:015,2014 · 21 pages, 10 figures; v2: minor clarifications, references added, published version
arxiv created 2014/10/31 · arxiv updated 2014/11/18
We propose a reconstruction of general bulk surfaces in any dimension in terms of the differential entropy in the boundary field theory. In particular, we extend the proof of Headrick et al. to calculate the area of a general class of surfaces, which have a 1-parameter foliation over a closed manifold. The area can be written in terms of extremal surfaces whose boundaries lie on ring-like regions in the field theory. We discuss when this construction has a description in terms of spatial entanglement entropy and suggest lessons for a more complete and covariant approach.