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Journal of High Energy Physics Volume 2009 JHEP10(2009) Create an alert RSS this journal

Idse Heemskerk et al JHEP10(2009)079 doi:10.1088/1126-6708/2009/10/079

Holography from conformal field theory

Idse Heemskerka, Joao Penedonesb, Joseph Polchinskib and James Sullya

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Abstract References Cited By
The locality of bulk physics at distances below the AdS length scale is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length. In the CFT this implies a large-N expansion and a gap in the spectum of anomalous dimensions. We conjecture that the implication also runs in the other direction, so that any CFT with a large-N expansion and a large gap has a local bulk dual. For an abstract CFT we formulate the consistency conditions, most notably crossing symmetry, and show that the conjecture is true in a broad range of CFT's, to first nontrivial order in 1/N2: in any CFT with a gap and a large-N expansion, the four-point correlator is generated via the AdS/CFT dictionary from a local bulk interaction. We establish this result by a counting argument on each side, and also investigate various properties of some explicit solutions.

Keywords

AdS-CFT and dS-CFT Correspondence

Gauge-gravity correspondence

 

E-print Number: 0907.0151

Cited: by |

Refers: to

PACS

11.25.Hf Conformal field theory, algebraic structures

11.25.Tq Gauge/string duality

11.15.Pg Expansions for large numbers of components (e.g., 1/Nc expansions)

Subjects

Particle physics and field theory

Dates

Issue 10 (October 2009)

Received 11 August 2009, accepted for publication 8 October 2009

Published 27 October 2009



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