Fluxons and Exact BPS Solitons in Non-Commutative Gauge Theory

TL;DR

This paper demonstrates how fluxon solutions in non-commutative gauge theory can be generated as BPS solitons using a recent method, providing insights into their brane interpretation and relation to ordinary gauge theory.

Contribution

It shows that the soliton generation method can produce BPS fluxon solutions in non-commutative gauge theory, linking them to brane configurations and Seiberg-Witten map.

Findings

Fluxon solutions are obtained as BPS states.

The solutions have a clear brane interpretation.

Correspondence with ordinary gauge theory via Seiberg-Witten map.

Abstract

We show that the fluxon solution of the non-commutative gauge theory and its variations are obtained by the soliton generation method recently given by J. A. Harvey, P. Kraus and F. Larsen [hep-th/0010060]. Although this method generally produces non-BPS solutions of equations of motion, the solutions we obtained are BPS. We give the brane interpretation of these BPS solutions and study their counterparts in the ordinary description by the Seiberg-Witten map.