Closed Timelike Curves and Holography in Compact Plane Waves

Details Closed Timelike Curves and Holography in Compact Plane Waves Closed Timelike Curves and Holography in Compact Plane Waves

2003-06-19

arxiv.org/abs/hep-th/0306190v1

JHEP 0310 (2003) 031

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 3 figures, LaTeX

Scientific paper

10.1088/1126-6708/2003/10/031

We discuss plane wave backgrounds of string theory and their relation to Goedel-like universes. This involves a twisted compactification along the direction of propagation of the wave, which induces closed timelike curves. We show, however, that no such curves are geodesic. The particle geodesics and the preferred holographic screens we find are qualitatively different from those in the Goedel-like universes. Of the two types of preferred screen, only one is suited to dimensional reduction and/or T-duality, and this provides a ``holographic protection'' of chronology. The other type of screen, relevant to an observer localized in all directions, is constructed both for the compact and non-compact plane waves, a result of possible independent interest. We comment on the consistency of field theory in such spaces, in which there are closed timelike (and null) curves but no closed timelike (or null) geodesics.

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