Vertex Operators of Super Wilson Loops

TL;DR

This paper derives explicit formulas for vertex operators of supersymmetric Wilson loops in lightlike polygons, using supersymmetry constraints and recursion relations, advancing the understanding of their structure.

Contribution

It provides all-order explicit formulas for vertex operators of super Wilson loops, filling a gap in the literature through a recursion formula derived from supersymmetry.

Findings

Explicit all-order formulas for vertex operators

Recursion formula derived from supersymmetry constraints

Enhanced understanding of super Wilson loop structure

Abstract

We study the supersymmetric Wilson loop as introduced by Caron-Huot, which attaches to lightlike polygons certain edge and vertex operators, whose shape is determined by supersymmetry constraints. We state explicit formulas for the vertex operators to all orders in the Gra{\ss}mann expansion, thus filling a gap in the literature. This is achieved by deriving a recursion formula out of the supersymmetry constraints.