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Aspects of holography in the AdS/CFT correspondence

✍ Scribed by C. Sieg

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
582 KB
Volume
53
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

We study quantities which are important for the realization of the holographic principle in the AdS/CFT correspondence: boundaries, geodesics and the propagators of scalar fields. They should play a role in the holographic setup in the BMN limit as well. We review the backgrounds and their relations that are relevant in the AdS/CFT correspondence and in its BMN limit. We describe the realization of the holographic principle in the AdS/CFT correspondence and summarize proposals of how to translate it in the BMN limit. We analyze the boundaries, geodesics and propagators of scalar fields in detail and observe how they behave in the limiting process from AdS~5~Γ—S^5^ to the 10‐dimensional plane wave, which is the spacetime in the BMN limit.

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Generalizations of the AdS/CFT correspon
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✍ I. Kirsch πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 946 KB

## Abstract We consider generalizations of the AdS/CFT correspondence in which probe branes are embedded in gravity backgrounds dual to either conformal or confining gauge theories. These correspond to defect conformal field theories (dCFT) or QCD‐like theories with fundamental matter, respectively