Causal structures and holography

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

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.
• Public URL: https://durham-repository.worktribe.com/output/1585360