Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-10-17
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, 2 figures, LaTeX. v2: references added. v3: version to appear in JHEP
Scientific paper
We show that the null Melvin map applied to a rotational isometry of global anti-de Sitter space produces a spacetime with properties analogous to both the Godel and Schrodinger geometries. The isometry group of this Godel-Schrodinger spacetime is appropriate to provide a holographic dual for the same non-relativistic conformal theory as the ordinary Schrodinger geometry, but defined on a sphere. This spacetime also possesses closed timelike curves outside a certain critical radius. We show that a holographic preferred screen for an observer at the origin sits at an interior radius, suggesting that a holographic dual description would only require the chronologically consistent region. Additionally, giant graviton probe branes experience repulson-type instabilities in the acausal region, suggesting a condensation of branes will modify the pathological part of the geometry to remove the closed timelike curves.
Brown Charles Max
DeWolfe Oliver
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