Brane running and AdS/CFT | Zendy

Michele Redi | Zendy

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Brane running and AdS/CFT

Author(s) -

Michele Redi

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/05/032

Subject(s) - compactification (mathematics) , brane , formalism (music) , physics , theoretical physics , brane cosmology , randall–sundrum model , scalar field , computation , scalar (mathematics) , effective action , mathematical physics , classical mechanics , mathematics , geometry , pure mathematics , algorithm , art , musical , visual arts

We extend the formalism introduced in the paper hep-th/0209050 to computecorrelation functions in the AdS/CFT correspondence. We show how the on-shellaction of a scalar field in a compactification of AdS space can be obtained byflowing in the space of (non-local) theories with different sizes of theextra-dimension. Our method is relevant in particular for holographiccomputations in the Randall-Sundrum scenario with one or two branes and itallows the inclusion of brane-localized actions in a systematic way. The methodcan also be generalized to other backgrounds and does not rely on explicitknowledge of the solutions of the wave-equations.Comment: 16 pages, 3 figures, typos correcte

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