3-Point Functions in N=4 Yang-Mills

TL;DR

This paper calculates three-point functions of chiral primary operators in N=4 Yang-Mills theory using harmonic superspace, confirming analyticity and determining coefficients through anomaly considerations and two-loop calculations.

Contribution

It introduces a harmonic superspace approach to compute three-point functions in N=4 Yang-Mills and verifies analyticity at two loops.

Findings

Analytic three-point functions are explicitly calculated.

Anomaly considerations fix the energy-momentum tensor multiplet coefficient.

Two-loop calculations confirm analyticity in N=2 harmonic superspace.

Abstract

Three-point functions of analytic (chiral primary) operators in N=4 Yang-Mills theory in four dimensions are calculated using the harmonic superspace formulation of this theory. In the case of the energy-momentum tensor multiplet anomaly considerations determine the coefficient. Analyticity in N=2 harmonic superspace is explicitly checked in a two-loop calculation.