Hubeny, V. E. and Liu, H. and Rangamani, M. (2007) 'Bulk-cone singularities & signatures of horizon formation in AdS/CFT.', Journal of high energy physics., 2007 (01). 009.
We discuss the relation between singularities of correlation functions and causal properties of the bulk spacetime in the context of the AdS/CFT correspondence. In particular, we argue that the boundary field theory correlation functions are singular when the insertion points are connected causally by a bulk null geodesic. This implies the existence of "bulk-cone singularities" in boundary theory correlation functions which lie inside the boundary light-cone. We exhibit the pattern of singularities in various asymptotically AdS spacetimes and argue that this pattern can be used to probe the bulk geometry. We apply this correspondence to the specific case of shell collapse in AdS/CFT and indicate a sharp feature in the boundary observables corresponding to black hole event horizon formation.
|Keywords:||AdS-CFT correspondence, Black holes in string theory.|
|Full text:||PDF (arXiv version) - Other (739Kb)|
|Publisher Web site:||http://dx.doi.org/10.1088/1126-6708/2007/01/009|
|Publisher statement:||© SISSA 2007. Published by IOP Publishing for SISSA. This is an author-created, un-copyedited version of an article accepted for publication in Journal of high energy physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1126-6708/2007/01/009.|
|Record Created:||19 Jul 2007|
|Last Modified:||17 Jun 2015 12:14|
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