Noncommutative Monopole from Nonlinear Monopole

TL;DR

This paper derives an exact solution for the non-linear monopole in Born-Infeld theory, explores its non-commutative counterpart via the Seiberg-Witten map, and discusses physical implications.

Contribution

It provides the first all-orders solution to the non-linear monopole equation in Born-Infeld theory and extends the analysis to non-commutative monopoles using the Seiberg-Witten map.

Findings

Exact non-linear monopole solution derived

Non-commutative monopole constructed via Seiberg-Witten map

Physical implications of the non-linear monopole discussed

Abstract

We solve the non-linear monopole equation of the Born-Infeld theory to all orders in the NS 2-form and give physical implications of the result. The solution is constructed by extending the earlier idea of rotating the brane configuration of the Dirac monopole in the target space. After establishing the non-linear monopole, we explore the non-commutative monopole by the Seiberg-Witten map.