String Junction from Non-Commutative Super Yang-Mills Theory

TL;DR

This paper constructs a 1/4 BPS soliton in non-commutative super Yang-Mills theory, analyzing eigenvalues to reveal a string junction configuration tilted against D3-branes, thus connecting non-commutative gauge theory with string theory phenomena.

Contribution

It introduces a first-order construction of a BPS soliton in non-commutative super Yang-Mills and interprets eigenvalues as string junctions, linking gauge theory solutions to string configurations.

Findings

Eigenvalues reproduce string junction geometry

String junction tilted against D3-branes

First-order non-commutative soliton solution

Abstract

We construct a 1/4 BPS soliton solution in N=4 non-commutative super Yang-Mills theory to the first order in the non-commutativity parameter \theta_{ij}. We then solve the non-commutative eigenvalue equations for the scalar fields. The Callan-Maldacena interpretation of the eigenvalues precisely reproduces the expected string junction picture: the string junction is tilted against the D3-branes with angle \theta_{ij}.