World-volume Solitons of the D3-brane in the Background of (p,q) Five-branes

TL;DR

This paper studies solitonic configurations on a D3-brane in a (p,q) five-brane background, revealing supersymmetric solutions that model string junctions and relate to the Hanany-Witten effect.

Contribution

It derives a first-order differential equation for D3-brane solitons in (p,q) five-brane backgrounds and finds explicit SO(3) invariant solutions representing string junctions.

Findings

Solutions saturate an energy bound and are analytically obtained.

Configurations preserve 1/4 of the supersymmetry.

Realize the Hanany-Witten effect on the world-volume.

Abstract

We analyze the world-volume solitons of a D3-brane probe in the background of parallel (p,q) five-branes. The D3-brane is embedded along the directions transverse to the five-branes of the background. By using the S-duality invariance of the D3-brane, we find a first-order differential equation whose solutions saturate an energy bound. The SO(3) invariant solutions of this equation are found analytically. They represent world-volume solitons which can be interpreted as formed by parallel (-q,p) strings emanating from the D3-brane world-volume. It is shown that these configurations are 1/4 supersymmetric and provide a world-volume realization of the Hanany-Witten effect.