Superpropagator and superconformal invariants

TL;DR

This paper constructs a superpropagator in maximally supersymmetric Yang-Mills theory, demonstrating its invariance properties and confirming duality with NMHV scattering amplitudes through explicit one-loop calculations.

Contribution

It introduces a superpropagator invariant under half of the supersymmetries and applies it to supersymmetric Wilson loops, confirming duality with NMHV amplitudes.

Findings

Superpropagator is invariant off-shell under chiral half of supersymmetries.

Explicit one-loop calculations show absence of anomalies.

Confirmed duality between Wilson loops and NMHV amplitudes.

Abstract

We construct a superpropagator in maximally supersymmetric Yang-Mills theory which is invariant off-shell under a chiral half of supersymmetries. Motivated by the duality with scattering amplitudes in this theory, we apply this superpropagator to supersymmeytric Wilson loop on polygonal contours. By performing explicit one-loop calculations we confirm the absence of anomalies and verify the duality between the object under study and NMHV amplitudes.