A note on four-point correlators of half-BPS operators in N=4 SYM

TL;DR

This paper computes specific four-point correlators of half-BPS operators in N=4 SYM at two-loop order, providing a test for integrability conjectures using supergraph techniques in harmonic superspace.

Contribution

It presents a two-loop perturbative calculation of four-point functions of half-BPS operators in N=4 SYM, testing integrability-based predictions.

Findings

Verification of the integrability conjecture for three-point functions.

Explicit two-loop four-point correlator results.

Application of supergraph formalism in N=2 harmonic superspace.

Abstract

We calculate the four-point correlation function of half-BPS operators with weights 2, 3, 3, 4 in N=4 SYM to two-loop order. The OPE of this correlation function provides a nontrivial check of the integrability conjecture for a class of three-point functions formulated in arXiv:1311.6404. Our perturbative calculation exploits the supergraph formalism in N=2 harmonic superspace.