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 language | English (US) |
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Article number | 67 |
Journal | Journal of High Energy Physics |
Volume | 2014 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2014 |
Externally published | Yes |
Keywords
- Gauge-gravity correspondence
- Holography and condensed matter physics (AdS/CMT)
ASJC Scopus subject areas
- Nuclear and High Energy Physics