Coadjoint Orbits and Wilson Loops in Five Dimensional Topological Gauge Theories

TL;DR

This paper explores the role of Wilson loops in five-dimensional supersymmetric gauge theories, revealing how they induce interactions and charge modifications on particles via the instanton moduli space.

Contribution

It introduces a novel path integral approach to analyze BPS Wilson loops and their effects in five-dimensional gauge theories.

Findings

Wilson loops create interaction terms with gauge fields on instanton moduli space.

Wilson loops induce charge modifications, making non-charged particles acquire charge.

The study provides new insights into the structure of supersymmetric gauge theories in five dimensions.

Abstract

We discussed one-point functions of BPS Wilson loops in supersymmetric five dimensional gauge theories defined on M_4\times S^1 by using path integral expression of Wilson loops. We found that the Wilson loop gives interaction terms between charged particles and certain gauge fields on the instanton moduli space, and makes the non-charged particle charged under the gauge fields.