1205.6444 (Gregory Giecold)

A Universal Formula for the Stress-Tensor Contribution to Scalar
Four-Point Functions    [PDF]

Gregory Giecold

We illustrate the power and efficiency of a recently uncovered Mellin-space approach to AdS/CFT correlation functions by providing a universal formula for the 4-scalar graviton-exchange Witten diagram, for arbitrary CFT-dual scaling dimensions. Our result keeps the space-time dimension generic as well, and is expressed as a combination of just 11 hypergeometric functions. Such hypergeometric functions are related to scalar-exchange diagrams. In particular, if reverse-engineered in terms of D-functions, this might be viewed as a first-step towards proving a long-standing conjecture by Dolan, Nirschl and Osborn pertaining to four-point correlators of chiral primary operators at strong coupling.

View original: http://arxiv.org/abs/1205.6444