Bulk-cone singularities & signatures of horizon formation in AdS/CFT

Hubeny, Veronika E.; Liu, Hong; Rangamani, Mukund

doi:10.1088/1126-6708/2007/01/009

Bulk-cone singularities & signatures of horizon formation in AdS/CFT

Hubeny, Veronika E.; Liu, Hong; Rangamani, Mukund

Authors

Veronika E. Hubeny

Hong Liu

Mukund Rangamani

Abstract

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.

Citation

Hubeny, V. E., Liu, H., & Rangamani, M. (2007). Bulk-cone singularities & signatures of horizon formation in AdS/CFT. Journal of High Energy Physics, 2007(01), https://doi.org/10.1088/1126-6708/2007/01/009

Journal Article Type	Article
Publication Date	Jan 4, 2007
Deposit Date	Jul 19, 2007
Publicly Available Date	May 6, 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	2007
Issue	01
DOI	https://doi.org/10.1088/1126-6708/2007/01/009
Keywords	AdS-CFT correspondence, Black holes in string theory.