Hubeny, Veronika E. and Rangamani, Mukund and Ross, Simon F. (2005) 'Causal structures and holography.', Journal of high energy physics., 2005 (07). 037.
We explore the description of bulk causal structure in a dual field theory. We observe that in the spacetime dual to a spacelike non-commutative field theory, the causal structure in the boundary directions is modified asymptotically. We propose that this modification is described in the dual theory by a modification of the micro-causal light cone. Previous studies of this micro-causal light cone for spacelike non-commutativite field theories agree with the expectations from the bulk spacetime. We describe the spacetime dual to field theories with lightlike non-commutativity, and show that they generically have a drastic modification of the light cone in the bulk: the spacetime is non-distinguishing. This means that the spacetime while being devoid of closed timelike or null curves, has causal curves that are ``almost closed''. We go on to show that the micro-causal light cone in the field theory agrees with this prediction from the bulk.
|Keywords:||AdS-CFT and dS-CFT Correspondence, Penrose limit and pp-wave background, Non-Commutative Geometry.|
|Full text:||(NA) Not Applicable |
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|Publisher Web site:||http://dx.doi.org/10.1088/1126-6708/2005/07/037|
|Publisher statement:||© SISSA 2005. Published by IOP Publishing for SISSA. This is an author-created, un-copyedited version of an article accepted for publication in Journal of High Energy Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1126-6708/2005/07/037.|
|Date accepted:||No date available|
|Date deposited:||No date available|
|Date of first online publication:||July 2005|
|Date first made open access:||No date available|
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