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Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping

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arxiv 0904.3304 v2 pith:FUIGXZHP submitted 2009-04-21 hep-th gr-qc

Matthias Blau , Jelle Hartong , Blaise Rollier This is my paper · ORCID
classification hep-thgr-qc
keywords globalschroedingerspace-timescoordinatesharmonictrappingadmitaspects
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We study various geometrical aspects of Schroedinger space-times with dynamical exponent z>1 and compare them with the properties of AdS (z=1). The Schroedinger metrics are singular for 1<z<2 while the usual Poincare coordinates are incomplete for z \geq 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 Schroedinger space-times admit no global timelike Killing vectors.

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  1. Particle production in a light-cone gauge fixed Jordanian deformation of $AdS_5\times S^5$

    hep-th 2024-12 conditional novelty 6.0 of 10

    In the light-cone gauge-fixed Jordanian deformation of AdS5×S5, on-shell cubic vertices produce nonzero 1-to-2 and 2-to-1 scattering processes, indicating particle production.

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