2013/09/30 by William R. Kelly, Aron C. Wall · 1 citation
Physics and Astronomy · #hep-th #gr-qc
paper · pdf · doi:10.1007/jhep03(2014)118
published as JHEP 03 (2014) 118 · 43 pages, 9 figures. v3: minor changes suggested by referee v2: added a few additional references
arxiv created 2014/04/01 · arxiv updated 2014/04/02
We propose bulk duals for certain coarse-grained entropies of boundary regions. The `one-point entropy' is defined in the conformal field theory by maximizing the entropy in a domain of dependence while fixing the one-point functions. We conjecture that this is dual to the area of the edge of the region causally accessible to the domain of dependence (i.e. the `causal holographic information' of Hubeny and Rangamani). The `future one-point entropy' is defined by generalizing this conjecture to future domains of dependence and their corresponding bulk regions. We show that the future one-point entropy obeys a nontrivial second law. If our conjecture is true, this answers the question "What is the field theory dual of Hawking's area theorem?"