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

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

2002-12-12

arxiv.org/abs/hep-th/0212138v2

Nucl.Phys. B656 (2003) 23-36

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex2e, no figures. v2: references added

Scientific paper

10.1016/S0550-3213(03)00056-7

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 CFT. The generating functionals of planar correlators in the ultraviolet and infrared CFT's 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 1 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.

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