Local bulk operators in AdS/CFT correspondence : A boundary view of horizons and locality
By A. Hamilton, D. Kabat, G. Lifschytz, D. Lowe. 2005
215 citations recorded by the source corpus.
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 ${\mathrm{AdS}}_{2}$ 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 Poincar\'e 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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a786be1c42380793354041978c93e5e619cb209a
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Citations in the corpus
- Holographic representation of local bulk operators (2006, methodology): “This is just the elapsed time between the point on the boundary which is lightlike to the future of the bulk point at the same value of φ, and the point on the boundary which is lightlike to the past at the same φ. The smearing is also over some finite region in imaginary φ, as per (52). 8 This was ”
- Entanglement wedge reconstruction and the information paradox (2019, background): “However, these approaches often assume knowledge of some global reconstruction, such as HKLL [81].”