Holographic representation of local bulk operators

Details Holographic representation of local bulk operators Holographic representation of local bulk operators

2006-06-15

arxiv.org/abs/hep-th/0606141v1

Phys.Rev.D74:066009,2006

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, LaTeX, 4 eps figures

Scientific paper

10.1103/PhysRevD.74.066009

The Lorentzian AdS/CFT correspondence implies a map between local operators in supergravity and non-local operators in the CFT. By explicit computation we construct CFT operators which are dual to local bulk fields in the semiclassical limit. The computation is done for general dimension in global, Poincare and Rindler coordinates. We find that the CFT operators can be taken to have compact support in a region of the complexified boundary whose size is set by the bulk radial position. We show that at finite N the number of independent commuting operators localized within a bulk volume saturates the holographic bound.

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