A universal result on central charges in the presence of double-trace deformations

被引:174
作者
Gubser, SS [1 ]
Klebanov, IR [1 ]
机构
[1] Princeton Univ, Joseph Henry Labs, Princeton, NJ 08544 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0550-3213(03)00056-7
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 large N conformal field theories perturbed by relevant double-trace deformations. Using the auxiliary field trick, or Hubbard-Stratonovich transformation, we show that in the infrared the theory flows to another CFE The generating functionals of planar correlators in the ultraviolet and infrared CFTs are shown to be related by a Legendre transform. Our main result is a universal expression for the difference of the scale anomalies between the ultraviolet and infrared fixed points, which is of order I in the large N expansion. Our computations are entirely field theoretic, and the results are shown to agree with predictions from AdS/CFT. We also remark that a certain two-point function can be computed for all energy scales on both sides of the duality, with full agreement between the two and no scheme dependence. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:23 / 36
页数:14
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