Tilting the Noncommutative Bion

TL;DR

This paper extends the noncommutative bion solution to include a background B-field, resulting in a tilted D3-brane configuration that aligns with dual magnetic charge analysis and proposes a method for incorporating worldvolume gauge fields.

Contribution

It introduces a tilted noncommutative bion solution accounting for a nonzero B-field and links it to dual descriptions, including a proposal for gauge field inclusion.

Findings

The tilted bion expands into a D3-brane at an angle.

The solution matches dual magnetic charge analysis.

Field strength correspondence extends beyond geometry.

Abstract

In this note, we extend the noncommutative bion core solution of Constable, Myers and Tafjord (hep-th/9911136) to include the effects of a nonzero NS-NS two-form B. The result is a `tilted bion' in which the core expands out to a single D3-brane at an angle to the D1-brane core. Its properties agree perfectly with an analysis of the dual situation, that of a magnetic charge on an abelian D3-brane in a background worldvolume magnetic field. We also demonstrate that this agreement extends beyond geometry to include the field strength on the D3-brane. We make a proposal for including possible worldvolume gauge fields when mapping a noncommutative geometrical brane solution onto a corresponding commutative brane description.