Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2009/07/027
Keywords
Gauge-gravity correspondence; AdS-CFT Correspondence; Space-Time Symmetries
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Funding
- Swiss National Science Foundation
- Schweizerische Universitatskonferenz SUK/CUS
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We study various geometrical aspects of Schrodinger space-times with dynamical exponent z > 1 and compare them with the properties of AdS (z = 1). The Schrodinger metrics are singular for 1 < z < 2 while the usual Poincare coordinates are incomplete for z >= 2. For z = 2 we obtain a global coordinate system and we explain the relations among its geodesic completeness, the choice of global time, and the harmonic trapping of non-relativistic CFTs. For z > 2, we show that the Schrodinger space-times admit no global timelike Killing vectors.
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