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Causal structures and holography

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

Authors

Veronika E. Hubeny

Mukund Rangamani



Abstract

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.

Citation

Hubeny, V. E., Rangamani, M., & Ross, S. F. (2005). Causal structures and holography. Journal of High Energy Physics, 2005(07), Article 037. https://doi.org/10.1088/1126-6708/2005/07/037

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
DOI https://doi.org/10.1088/1126-6708/2005/07/037
Keywords AdS-CFT and dS-CFT Correspondence, Penrose limit and pp-wave background, Non-Commutative Geometry.

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