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arXiv · hep-th/0304014

Brane running and AdS/CFT

Michele Redi
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Abstract

We extend the formalism introduced in the paper hep-th/0209050 to compute correlation functions in the AdS/CFT correspondence. We show how the on-shell action of a scalar field in a compactification of AdS space can be obtained by flowing in the space of (non-local) theories with different sizes of the extra-dimension. Our method is relevant in particular for holographic computations in the Randall-Sundrum scenario with one or two branes and it allows the inclusion of brane-localized actions in a systematic way. The method can also be generalized to other backgrounds and does not rely on explicit knowledge of the solutions of the wave-equations.

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Michele Redi. 2004-08-18. Brane running and AdS/CFT. https://doi.org/10.1088/1126-6708%2F2003%2F05%2F032

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