Correlation functions in the CFTd/AdSd+1 correspondence

被引：584

作者：

Freedman, DZ ^{[1
]}

Mathur, SD

Matusis, A

Rastelli, L

机构：

[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

[2] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

NUCLEAR PHYSICS B | 1999年 / 546卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

AdS; conformal field theory; correlation functions; supergravity; string theory;

D O I：

10.1016/S0550-3213(99)00053-X

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Conformal techniques are applied to the calculation of integrals on AdS(d+1) space which define correlators of composite operators in the superconformal field theory on the d-dimensional boundary. The 3-point amplitudes for scalar fields of arbitrary mass and gauge fields in the AdS supergravity are calculated explicitly. For three gauge fields we compare in detail with the known conformal structure of the SU(4) flavor current correlator [J(i)(a) J(j)(b) J(k)(c)] of the N = 4, d = 4 SU(N) SYM theory. Results agree with the free field approximation as would be expected from superconformal non-renormalization theorems. In studying the Ward identity relating [J(i)(a)O(I)O(J]) to [(OOj)-O-I] for (non-marginal) scalar composite operators O-I, we find that there is a subtlety in obtaining the normalization of [(OOJ)-O-I] from the supergravity action integral. (C) 1999 Published by Elsevier Science B.V.

引用

页码：96 / 118

页数：23

共 75 条

[41]

GUBSER SS, HEPTH9802109

[42] COMPACT AND NONCOMPACT GAUGED SUPERGRAVITY THEORIES IN 5 DIMENSIONS [J].