Brane running and AdS/CFT
High Energy Physics - Theory
2014-11-18 v3
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.
Cite
@article{arxiv.hep-th/0304014,
title = {Brane running and AdS/CFT},
author = {Michele Redi},
journal= {arXiv preprint arXiv:hep-th/0304014},
year = {2014}
}
Comments
16 pages, 3 figures, typos corrected