Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-04-05
JHEP 0507 (2005) 037
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 2 figures, 32 pages. v2: references added. v3:refs
Scientific paper
10.1088/1126-6708/2005/07/037
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.
Hubeny Veronika E.
Rangamani Mukund
Ross Simon F.
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