What do non-relativistic CFTs tell us about Lifshitz spacetimes?

Cynthia Keeler, Gino Knodel, James T. Liu

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

We study the reconstructability of (d + 2)-dimensional bulk spacetime from (d + 1)-dimensional boundary data, particularly concentrating on backgrounds which break (d + 1)-dimensional Lorentz invariance. For a large class of such spacetimes, there exist null geodesics which do not reach the boundary. Therefore classically one might guess some information is trapped in the bulk and thus invisible at the boundary. We show that this classical intuition correctly predicts the quantum situation: whenever there are null geodesics which do not reach the boundary, there are also "trapped scalar modes" whose boundary imprint is exponentially suppressed. We use these modes to show that no smearing function exists for pure Lifshitz spacetime, nor for any flow which includes a Lifshitz region. Indeed, for any (planar) spacetime which breaks (d + 1)-dimensional Lorentz invariance at any radius, we show that local boundary data cannot reconstruct complete local bulk data.

Original languageEnglish (US)
Article number62
JournalJournal of High Energy Physics
Volume2014
Issue number1
DOIs
StatePublished - Jan 2014
Externally publishedYes

Keywords

  • AdS-CFT Correspondence
  • Holography and condensed matter physics (AdS/CMT)

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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