Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation

Abstract

We present the computation of all the correlators of 1/2-BPS operators in $\mathcal{N}=4$ SYM with weights up to 8 as well as some very high-weight correlation functions from the effective supergravity action. The computation is done by implementing the recently developed simplified algorithm in combination with the harmonic polynomial formalism. We provide a database of these results attached to this publication and additionally check for almost all of the functions in this database that they agree with the conjecture on their Mellin-space form.

6 pages, database included; v2: database extended, appendix added