Dilaton-fixed scalar correlators and AdS(5) x S-5-SYM correspondence

Citation
H. Liu et Aa. Tseytlin, Dilaton-fixed scalar correlators and AdS(5) x S-5-SYM correspondence, J HIGH EN P, (10), 1999, pp. NIL_48-NIL_65
Citations number
52
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Issue
10
Year of publication
1999
Pages
NIL_48 - NIL_65
Database
ISI
SICI code
1029-8479(199912):10<NIL_48:DSCAAX>2.0.ZU;2-3
Abstract
We address the question of AdS/CFT correspondence in the case of the 3-poin t function [O4O4O8]. O-4 and O-8 are particular primary states represented by tr F-2 + ... and tr F-4 + ... operators in N = 4 SYM theory and dilaton phi and massive "fixed" scalar nu in D = 5 supergravity. While the value of [O4O4O8] computed in large N weakly coupled SYM theory is non-vanishing, t he D = 5 action of type IIB supergravity compactified on S-5 does not conta in phi phi nu coupling and thus the corresponding correlator seems to vanis h on the AdS(5) side. This is in obvious contradiction with various argumen ts suggesting non-renormalization of 2- and 3-point functions of states fro m short multiplets and implying agreement between the supergravity and SYM expressions for them. We propose a natural resolution of this paradox which emphasizes the 10-dimensional nature of the correspondence. The basic idea is to treat the constant mode of the dilaton as a part of the full S-5 Kal uza-Klein family of dilaton modes. This leads to a non-zero result for the [O4O4O8] correlator on the supergravity side.