On Exact Noncommutative BPS Solitons

TL;DR

This paper constructs new exact BPS solitons in noncommutative gauge theories using a gauge transformation, revealing bound states of monopoles and fluxons that correspond to D-string configurations in superstring theory.

Contribution

It introduces a method to generate new BPS solitons via gauge transformations, expanding the known solutions in noncommutative gauge theories.

Findings

Constructed new exact BPS solitons in noncommutative gauge theories.

Identified soliton bound states corresponding to D-string configurations.

Demonstrated the addition of localized solitons through gauge transformations.

Abstract

We construct new exact BPS solitons in various noncommutative gauge theories by the ``gauge'' transformation of known BPS solitons. This ``gauge'' transformation introduced by Harvey, Kraus and Larsen adds localized solitons to the known soliton. These solitons include, for example, the bound state of a noncommutative Abelian monopole and N fluxons at threshold. This corresponds, in superstring theories, to a D-string which attaches to a D3-brane and N D-strings which pierce the D3-brane, where all D-strings are parallel to each other.