AdS/CFT correspondence and symmetry breaking

被引：1026

作者：

Klebanov, IR ^{[1
]}

Witten, E ^{[1
]}

机构：

[1] Inst Adv Study, Princeton, NJ 08540 USA

来源：

NUCLEAR PHYSICS B | 1999年 / 556卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

supersymmetric Yang-Mills theory; infrared fixed points; string theory; threebranes; conical singularities; anti-de Sitter space;

D O I：

10.1016/S0550-3213(99)00387-9

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：

We study, using the dual AdS description, the vacua of field theories where some of the gauge symmetry is broken by expectation values of scalar fields. In such vacua, operators built out of the scaler fields acquire expectation values, and we show how to calculate them from the behavior of perturbations to the AdS background near the boundary. Specific examples include the N = 4 SYM theory, and theories on D3-branes placed on orbifolds and conifolds, We also clarify some subtleties of the AdS/CFT correspondence that arise in this analysis. In particular, we explain how scalar fields in AdS space of sufficiently negative mass-squared can be associated with CFT operators of two possible dimensions. All dimensions are bounded from below by (d-2)/2; this is the unitarity bound for scalar operators in d-dimensional field theory. We further argue that the generating functional for correlators in the theory with one choice of operator dimension is a Legendre transform of the generating functional in the theory with the other choice. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：89 / 114

页数：26

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