Noncommutative Gauge Dynamics from Brane Configurations with Background B field

TL;DR

This paper explores noncommutative gauge theories derived from D3-branes with background B-fields, analyzing their dualities, mirror symmetry, and soliton solutions within string theory frameworks.

Contribution

It introduces the concept that the mirror of a noncommutative gauge theory is an open string decoupled from closed strings, expanding understanding of dualities in noncommutative settings.

Findings

Mirror of noncommutative gauge theory is an open string, not a field theory.

Discusses brane creation phenomena and Seiberg duality analogues.

Identifies noncommutative solitons as D1-branes on D3-branes.

Abstract

We study D=3 field theories on the D3-branes stretched between two NS5-branes with NS B-field background. The theory is a noncommutative gauge theory. The mirror symmetry and S-duality of the theory are discussed. A new feature is that the mirror of the noncommutative gauge theory is not a field theory but an open string decoupled from the closed string. We also consider brane creation phenomena and use the result to discuss the analogue of the Seiberg duality. A noncommutative soliton is interpreted as a D1-brane induced on D3-brane.