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  Correlation functions and massive Kaluza-Klein modes in the AdS/CFT correspondence

Arutyunov, G., Dolan, F. A., Osborn, H., & Sokatchev, E. (2003). Correlation functions and massive Kaluza-Klein modes in the AdS/CFT correspondence. Nuclear Physics B, 665(1-3), 273-324.

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Datensatz-Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5209-E Versions-Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-520A-C
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 Urheber:
Arutyunov, Gleb1, Autor
Dolan, F. A., Autor
Osborn, H., Autor
Sokatchev, E., Autor
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Zusammenfassung: We study four-point correlation functions of 1/2-BPS operators in N=4 SYM which are dual to massive KK modes in AdS_5 supergravity. On the field theory side, the procedure of inserting the SYM action yields partial non-renormalisation of the four-point amplitude for such operators. In particular, if the BPS operators have dimensions equal to three or four, the corresponding four-point amplitude is determined by one or two independent functions of the two conformal cross-ratios, respectively. This restriction on the amplitude does not merely follow from the superconformal Ward identities, it also encodes dynamical information related to the structure of the gauge theory Lagrangian. The dimension 3 BPS operator is the AdS/CFT dual of the first non-trivial massive Kaluza-Klein mode of the compactified type IIB supergravity, whose interactions go beyond the level of the five-dimensional gauged N=8 supergravity. We show that the corresponding effective Lagrangian has a surprisingly simple sigma-model-type form with at most two derivatives. We then compute the supergravity-induced four-point amplitude for the dimension 3 operators. Remarkably, this amplitude splits into a "free" and an "interacting" parts in exact agreement with the structure predicted by the insertion procedure. The underlying OPE fulfills the requirements of superconformal symmetry and unitarity.

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Sprache(n): eng - Englisch
 Datum: 2003-08-18
 Publikationsstatus: Im Druck publiziert
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 Identifikatoren: eDoc: 3136
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Titel: Nuclear Physics B
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 665 (1-3) Artikelnummer: - Start- / Endseite: 273 - 324 Identifikator: -