Scalar boundary conditions in Lifshitz spacetimes

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6 Scopus citations

Abstract

We investigate the conditions imposable on a scalar field at the boundary of the so-called Lifshitz spacetime which has been proposed as the dual to Lifshitz field theories. For effective mass squared between -(d + z - 1) 2 /4 and z 2 - (d + z - 1)2 /4, we find a one-parameter choice of boundary condition type. The bottom end of this range corresponds to a Breitenlohner-Freedman bound; below it, the Klein-Gordon operator need not be positive, so we cannot make sense of the dynamics. Above the top end of the range, only one boundary condition type is available; here we expect compact initial data will remain compact in the future.

Original languageEnglish (US)
Article number67
JournalJournal of High Energy Physics
Volume2014
Issue number1
DOIs
StatePublished - Jan 2014
Externally publishedYes

Keywords

  • Gauge-gravity correspondence
  • Holography and condensed matter physics (AdS/CMT)

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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