Branes and BPS Configurations of Non-Commutative/Commutative Gauge Theories

TL;DR

This paper investigates BPS monopoles in non-commutative U(1) gauge theory, demonstrating their equivalence to tilted D-strings in ordinary gauge theory via Seiberg-Witten map, thus validating the non-commutative and commutative gauge theory correspondence.

Contribution

It provides an explicit construction of BPS monopoles in non-commutative gauge theory and confirms their brane interpretation through the Seiberg-Witten map.

Findings

Exact match with tilted D-strings predicted

Validates the Seiberg-Witten map for BPS configurations

Supports the equivalence of non-commutative and commutative gauge theories

Abstract

We study BPS Dirac monopole in U(1) gauge theory on non-commutative spacetime. The corresponding brane configuration is obtained in the equivalent ordinary gauge theory through the map proposed by Seiberg and Witten. This configuration coincides exactly with a tilted D-string as predicted. This study provides an interesting check of the equivalence of the non-commutative and ordinary gauge theories.