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- W3099521928 abstract "We study four-point correlation functions of 12-BPS operators in N=4 SYM which are dual to massive KK modes in AdS5 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." @default.
- W3099521928 created "2020-11-23" @default.
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- W3099521928 date "2003-08-01" @default.
- W3099521928 modified "2023-10-05" @default.
- W3099521928 title "Correlation functions and massive Kaluza–Klein modes in the AdS/CFT correspondence" @default.
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- W3099521928 doi "https://doi.org/10.1016/s0550-3213(03)00448-6" @default.
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