String Representation of Wilson Loops

TL;DR

This paper investigates the implications of zig/zag-invariance in confining string theories, highlighting its incompatibility with supersymmetry and exploring potential invariant backgrounds for Wilson loop calculations.

Contribution

It analyzes the compatibility of zig/zag-invariance with supersymmetry and explores possible string backgrounds for Wilson loop computations.

Findings

Zig/zag-invariance appears incompatible with spacetime supersymmetry.

Potential string backgrounds for implementing minimal-area Wilson loop calculations are considered.

The study advances understanding of symmetry constraints in confining string models.

Abstract

We explore the consequences of imposing Polyakov's zig/zag-invariance in the search for a confining string. We first find that the requirement of zig/zag-invariance seems to be incompatible with spacetime supersymmetry. We then try to find zig/zag-invariant string backgrounds on which to implement the minimal-area prescription for the calculation of Wilson loops considering different possibilities.