Hubeny, V. E. and Rangamani, M. and Ross, S. F. (2005) 'Causal structures and holography.', Journal of high energy physics., 07 . p. 37.
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, dS-CFT Correspondence, Penrose limit, pp-wave background, Non-commutative geometry.|
|Full text:||Full text not available from this repository.|
|Publisher Web site:||http://dx.doi.org/10.1088/1126-6708/2005/07/037|
|Record Created:||26 Feb 2008|
|Last Modified:||27 Nov 2009 10:19|
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