Four-point functions of different-weight operators in the AdS/CFT correspondence
Abstract
We calculate four-point correlation functions of two weight-2 and two weight-3 1/2-BPS operators in \mathcal{N}=4 SYM in the large N limit in supergravity approximation. By the AdS/CFT conjecture, these operators are dual to AdS supergravity scalar fields s_2 and s_3 with mass m^2 = -4 and m^2 = -3 respectively. This is the first non-trivial four-point function of mixed-weight operators of lowest conformal dimensions. We show that the supergravity-induced four-point function splits into a "free" and a "quantum" part, where the quantum contribution obeys non-trivial constraints coming from the insertion procedure in the gauge theory, in particular, it depends on only one function of the conformal cross-ratios.
Keywords
Cite
@article{arxiv.0709.1365,
title = {Four-point functions of different-weight operators in the AdS/CFT correspondence},
author = {León Berdichevsky and Pieter Naaijkens},
journal= {arXiv preprint arXiv:0709.1365},
year = {2009}
}
Comments
24 pages, 2 figures, free field contribution and misprints corrected