Gauge-invariant correlation functions in light-cone superspace

TL;DR

This paper explores the computation of gauge-invariant correlation functions in N=4 super Yang-Mills theory using light-cone superspace, aiming to develop efficient perturbative methods and examine off-shell subtleties.

Contribution

It introduces a novel light-cone superspace approach to calculate correlation functions in N=4 SYM, potentially enabling compact descriptions of multiplets.

Findings

Developed methods for perturbative corrections in light-cone superspace

Identified potential advantages of manifest supersymmetry in calculations

Discussed subtleties in off-shell quantity computations

Abstract

We initiate a study of correlation functions of gauge-invariant operators in N=4 super Yang-Mills theory using the light-cone superspace formalism. Our primary aim is to develop efficient methods to compute perturbative corrections to correlation functions. This analysis also allows us to examine potential subtleties which may arise when calculating off-shell quantities in light-cone gauge. We comment on the intriguing possibility that the manifest N=4 supersymmetry in this approach may allow for a compact description of entire multiplets and their correlation functions.