Abstract
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.
Original language | English (US) |
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Article number | 195 |
Journal | Journal of High Energy Physics |
Volume | 2016 |
Issue number | 3 |
DOIs | |
State | Published - Mar 1 2016 |
Externally published | Yes |
Keywords
- AdS-CFT Correspondence
- Gauge-gravity correspondence
- Holography and condensed matter physics (AdS/CMT)
ASJC Scopus subject areas
- Nuclear and High Energy Physics