Supersymmetric Pair Correlation Function of Wilson Loops

TL;DR

This paper derives the pair correlation function of Wilson loops in a supersymmetric string theory setup, revealing a specific potential between sources at short distances, with implications for gauge theories.

Contribution

It provides a path integral derivation of the annulus diagram and computes the Wilson loop correlation function in a supersymmetric background.

Findings

Derived a -u^4/r^9 potential between sources

Established a method for computing Wilson loop correlations in supersymmetric theories

Connected string theory calculations to gauge theory potentials

Abstract

We give a path integral derivation of the annulus diagram in a supersymmetric theory of open and closed strings with Dbranes. We compute the pair correlation function of Wilson loops in the generic weakly coupled supersymmetric flat spacetime background with Dbranes. We obtain a -u^4/r^9 potential between heavy nonrelativistic sources in a supersymmetric gauge theory at short distances.