Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-10
Nucl.Phys. B665 (2003) 273-324
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 47 pages, 4 figures, the discussion of short representations in the OPE extended
Scientific paper
10.1016/S0550-3213(03)00448-6
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.
Arutyunov Gleb
Dolan Francis A.
Osborn Herbert
Sokatchev Emery
No associations
LandOfFree
Correlation Functions and Massive Kaluza-Klein Modes in the AdS/CFT Correspondence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Correlation Functions and Massive Kaluza-Klein Modes in the AdS/CFT Correspondence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Correlation Functions and Massive Kaluza-Klein Modes in the AdS/CFT Correspondence will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-75150