OPEs and 4-point Functions in AdS/CFT Correspondence
Abstract
Recently D'Hoker et al. (1999) computed 4-point correlation functions of axion and dilaton fields in type IIB SUGRA on AdS_5 x S^5. We reproduce from a CFT point of view all power law singular terms in these AdS 4-point amplitudes. We also calculate a corresponding 4-point function in the weak coupling limit, g_{YM}^2 N -> 0. Comparison reveals the existence of a primary operator that contributes to these same singular terms in the weak coupling limit but which does not contribute to the power law singular terms of the type IIB SUGRA 4-point function. We conclude that this new operator is not a chiral primary and hence acquires a large anomalous dimension in the strong coupling regime.
Cite
@article{arxiv.hep-th/0002039,
title = {OPEs and 4-point Functions in AdS/CFT Correspondence},
author = {Christopher P. Herzog},
journal= {arXiv preprint arXiv:hep-th/0002039},
year = {2010}
}
Comments
18 pages, no figures, references expanded and amended, note added for publication in JHEP