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Title: Flat-space scattering and bulk locality in the AdS-CFT correspondence

Abstract

The large radius limit in the AdS-CFT correspondence is expected to provide a holographic derivation of flat-space scattering amplitudes. This suggests that questions of locality in the bulk should be addressed in terms of properties of the S matrix and their translation into the conformal field theory. There are, however, subtleties in this translation related to generic growth of amplitudes near the boundary of anti-de Sitter space. Flat space amplitudes are recovered after a delicate projection of CFT correlators onto normal-mode frequencies of AdS. Once such amplitudes are obtained from the CFT, possible criteria for approximate bulk locality include bounds on growth of amplitudes at high energies and reproduction of semiclassical gravitational scattering at long distances. (c) 2000 The American Physical Society.

Authors:
 [1]
  1. Department of Physics, University of California, Santa Barbara, California 93106-9530 (United States)
Publication Date:
OSTI Identifier:
20216453
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 61; Journal Issue: 10; Other Information: PBD: 15 May 2000; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SUPERSTRING MODELS; GAUGE INVARIANCE; S MATRIX; HOLOGRAPHY; CONFORMAL INVARIANCE; THEORETICAL DATA

Citation Formats

Giddings, Steven B. Flat-space scattering and bulk locality in the AdS-CFT correspondence. United States: N. p., 2000. Web. doi:10.1103/PhysRevD.61.106008.
Giddings, Steven B. Flat-space scattering and bulk locality in the AdS-CFT correspondence. United States. doi:10.1103/PhysRevD.61.106008.
Giddings, Steven B. Mon . "Flat-space scattering and bulk locality in the AdS-CFT correspondence". United States. doi:10.1103/PhysRevD.61.106008.
@article{osti_20216453,
title = {Flat-space scattering and bulk locality in the AdS-CFT correspondence},
author = {Giddings, Steven B.},
abstractNote = {The large radius limit in the AdS-CFT correspondence is expected to provide a holographic derivation of flat-space scattering amplitudes. This suggests that questions of locality in the bulk should be addressed in terms of properties of the S matrix and their translation into the conformal field theory. There are, however, subtleties in this translation related to generic growth of amplitudes near the boundary of anti-de Sitter space. Flat space amplitudes are recovered after a delicate projection of CFT correlators onto normal-mode frequencies of AdS. Once such amplitudes are obtained from the CFT, possible criteria for approximate bulk locality include bounds on growth of amplitudes at high energies and reproduction of semiclassical gravitational scattering at long distances. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevD.61.106008},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 10,
volume = 61,
place = {United States},
year = {2000},
month = {5}
}