Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-01-31
Physics
High Energy Physics
High Energy Physics - Theory
44 pages. Zipped source includes a Mathematica notebook
Scientific paper
We compute four point functions of the stress tensor and conserved currents in AdS_4/CFT_3 using bulk perturbation theory. We work at treel level in the bulk theory, which we take to be either pure gravity or Yang Mills theory in AdS. We bypass the tedious evaluation of Witten diagrams using recently developed recursion relations for these correlators. In this approach, the four point function is obtained as the sum of residues of a rational function at easily identifiable poles. We write down an explicit formula for the four point correlator with arbitrary external helicities and momenta. We verify that, precisely as conjectured in a companion paper, the Maximally Helicity Violating (MHV) amplitude of gravitons or gluons appears as the coefficient of a specified singularity in the MHV stress-tensor or current correlator. Our results suggest that double trace operators of the stress tensor, in theories with a pure gravity dual, do not develop anomalous dimensions at leading order in 1/N.
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