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Causal structures and holography

Hubeny, Veronika E.; Rangamani, Mukund; Ross, Simon F.


Veronika E. Hubeny

Mukund Rangamani


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, V. E., Rangamani, M., & Ross, S. F. (2005). Causal structures and holography. Journal of High Energy Physics, 2005(07), Article 037.

Journal Article Type Article
Publication Date Jul 15, 2005
Deposit Date May 7, 2014
Publicly Available Date May 8, 2014
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2005
Issue 07
Article Number 037
Keywords AdS-CFT and dS-CFT Correspondence, Penrose limit and pp-wave background, Non-Commutative Geometry.


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