Computing Wilson lines with dielectric branes

TL;DR

This paper demonstrates how Wilson lines in N=4 SYM can be represented by dielectric branes with dissolved F-strings, linking string expansion phenomena to brane configurations.

Contribution

It explicitly shows the dielectric effect as an effective description of F-string dissolved branes for Wilson lines in specific tensor product representations.

Findings

Wilson lines correspond to dielectric brane configurations.

Explicit demonstration of the dielectric effect for symmetric and antisymmetric representations.

Brane configurations effectively describe string expansion phenomena.

Abstract

Wilson lines in N=4SYM can be computed in terms of branes carrying electric flux, i.e. F-strings dissolved in their worldvolumes. It is then natural to think that those configurations are the effective description of strings expanding due to dielectric effect to D-branes. In this note we explicitly show this for a class of such configurations, namely those dual to Wilson lines either in the symmetric or in the antisymmetric tensor product of fundamentals.