1201.6452 (Suvrat Raju)

Four Point Functions of the Stress Tensor and Conserved Currents in
AdS_4/CFT_3    [PDF]

Suvrat Raju

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.

View original: http://arxiv.org/abs/1201.6452