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

Journal Article · Sat Apr 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.73.086003· OSTI ID:20782943

Hamilton, Alex; Kabat, Daniel ^[1]; Lifschytz, Gilad ^[2]; Lowe, David A ^[3]

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1. Department of Physics, Columbia University, New York, New York 10027 (United States)
2. Department of Mathematics and Physics and CCMSC, University of Haifa at Oranim, Tivon 36006 (Israel)
3. Department of Physics, Brown University, Providence, Rhode Island 02912 (United States)

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 AdS{sub 2} 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 Poincare 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.

• OSTI ID: 20782943
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 8; Other Information: DOI: 10.1103/PhysRevD.73.086003; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CONFORMAL INVARIANCE
COORDINATES
DE SITTER GROUP
LOCALITY
QUANTUM FIELD THEORY
SEMICLASSICAL APPROXIMATION
SPACE
SPACE-TIME
SUPERGRAVITY
TWO-DIMENSIONAL CALCULATIONS