Field Theory Tests for Correlators in the AdS/CFT Correspondence

Details Field Theory Tests for Correlators in the AdS/CFT Correspondence Field Theory Tests for Correlators in the AdS/CFT Correspondence

1998-07-14

arxiv.org/abs/hep-th/9807098v1

Phys.Rev.D59:045008,1999

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 4 figures + 3 inline text illustrations, LaTeX2e; email to dzf@math.mit.edu (D.Z. Freedman)

Scientific paper

10.1103/PhysRevD.59.045008

The order g^2 radiative corrections to all 2- and 3-point correlators of the composite primary operators Tr X^k are computed in {\cal N} = 4 supersymmetric Yang-Mills theory with gauge group SU(N). Corrections are found to vanish for all N. For k=2 this is a consequence of known superconformal nonrenormalization theorems, and for general k the result confirms an N-to-infinity, fixed large g^2N supergravity calculation and further conjectures in hep-th/9806074. A 3-point correlator involving {\cal N} = 4 descendents of Tr X^2 is calculated, and its order g^2 contribution also vanishes, giving evidence for the absence of radiative corrections in correlators of descendent operators.

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