On the reconstruction of Lifshitz spacetimes
Abstract
We consider the reconstruction of a Lifshitz spacetime from three perspectives: differential entropy (or "hole-ography"), causal wedges and entanglement wedges. We find that not all time-varying bulk curves in vacuum Lifshitz can be reconstructed via the differential entropy approach, adding a caveat to the general analysis of \cite{Headrick:2014eia}. We show that the causal wedge for Lifshitz spacetimes degenerates, while the entanglement wedge requires the additional consideration of a set of boundary-emanating light-sheets. The need to include bulk surfaces with no clear field theory interpretation in the differential entropy construction and the change in the entanglement wedge formation both serve as warnings against a naive application of holographic entanglement entropy proposals in Lifshitz spacetimes.
Keywords
Cite
@article{arxiv.1512.04538,
title = {On the reconstruction of Lifshitz spacetimes},
author = {Simon A. Gentle and Cynthia Keeler},
journal= {arXiv preprint arXiv:1512.04538},
year = {2016}
}
Comments
40 pages, 14 figures; v2: references added