Supersymmetric Wilson Loops in IIB Matrix Model

TL;DR

This paper demonstrates that supersymmetric Wilson loops in the IIB matrix model serve as transition operators linking reduced supersymmetric Yang-Mills theory to supersymmetric spacetime theory, and identifies their relation to IIB superstring states.

Contribution

It establishes a novel connection between Wilson loops in the IIB matrix model and superstring asymptotic states, revealing their supersymmetry transformation properties.

Findings

Wilson loops act as transition operators to supersymmetric spacetime.

Identified Wilson loops with IIB superstring asymptotic states.

Supersymmetry transformation law of Wilson loops is inverse to vertex operators.

Abstract

We show that the supersymmetric Wilson loops in IIB matrix model give a transition operator from reduced supersymmetric Yang-Mills theory to supersymmetric space-time theory. In comparison with Green-Schwarz superstring we identify the supersymmetric Wilson loops with the asymptotic states of IIB superstring. It is pointed out that the supersymmetry transformation law of the Wilson loops is the inverse of that for the vertex operators of massless modes in the U(N) open superstring with Dirichlet boundary condition.