On Four-point Functions in the CFT/AdS Correspondence
Abstract
We discuss the properties of four-point functions in the context of the correspondence between a classical supergravity theory in the bulk of the Anti de Sitter space and quantum conformal field theory at the boundary. The contribution to a four-point function from the exchange of a scalar field of arbitrary mass in AdS space is explicitly identified with that of the corresponding operator in the conformal partial wave expansion of a four-point function on the CFT side. Integral representations are found for the massless vector and graviton exchanges. We also discuss some aspects of the four-point functions of Tr F^2 and Tr F F^* (`dilaton' and `axion') operators in the N =4 supersymmetric Yang-Mills.
Cite
@article{arxiv.hep-th/9807097,
title = {On Four-point Functions in the CFT/AdS Correspondence},
author = {Hong Liu and A. A. Tseytlin},
journal= {arXiv preprint arXiv:hep-th/9807097},
year = {2009}
}
Comments
23 pages, using harvmac and epsf, three figures; v2,v3: minor corrections; v4: argument at the end of section 5 corrected and is now consistent with hep-th/9808006 by Freedman et al