Local bulk operators in AdS/CFT correspondence: A boundary view of horizons and locality

Alex Hamilton, Daniel Kabat, Gilad Lifschytz, David A. Lowe

Research output: Contribution to journalArticlepeer-review

Abstract

We develop the representation of local bulk fields in anti-de Sitter (AdS) space by nonlocal operators on the boundary, working in the semiclassical limit and using AdS2 as our main example. In global coordinates we show that the boundary operator has support only at points which are spacelike separated from the bulk point. We construct boundary operators that represent local bulk operators inserted behind the horizon of the Poincaré patch and inside the Rindler horizon of a two-dimensional black hole. We show that these operators respect bulk locality and comment on the generalization of our construction to higher dimensional AdS black holes.

Original languageEnglish
Article number086003
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume73
Issue number8
DOIs
StatePublished - 2006

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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