Holographic representation of local bulk operators
High Energy Physics - Theory
2008-11-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0606141,
title = {Holographic representation of local bulk operators},
author = {Alex Hamilton and Daniel Kabat and Gilad Lifschytz and David A. Lowe},
journal= {arXiv preprint arXiv:hep-th/0606141},
year = {2008}
}
Comments
36 pages, LaTeX, 4 eps figures