On the reconstruction of Lifshitz spacetimes

Gentle, Simon (Department of Physics and Astronomy, University of California, Los Angeles, CA, 90095, U.S.A.) ; Keeler, Cynthia (Niels Bohr International Academy, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK 2100, Copenhagen, Denmark)

31 March 2016

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 [1]. 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.


Published in: JHEP 1603 (2016) 195
Published by: Springer/SISSA
DOI: 10.1007/JHEP03(2016)195
arXiv: 1512.04538
License: CC-BY-4.0



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