Two-point functions for N=4 Konishi-like operators

TL;DR

This paper calculates the one-loop two-point functions of Konishi-like operators in N=4 supersymmetric Yang-Mills theory using N=1 superspace, confirming superconformal invariance and determining anomalous dimensions.

Contribution

It provides the first explicit one-loop computation of these correlators in N=4 SYM within the N=1 superspace formalism, including normalization and anomalous dimensions.

Findings

Confirmed superconformal invariance of the two-point functions

Determined the anomalous dimension to order g^2

Provided explicit normalization of the correlators

Abstract

We compute the two-point function of Konishi-like operators up to one-loop order, in N=4 supersymmetric Yang-Mills theory. We work perturbatively in N=1 superspace. We find the expression expected on the basis of superconformal invariance and determine the normalization of the correlator and the anomalous dimension of the operators to order g^2 in the coupling constant.