D-branes as Solitons of an N=1, D=10 Non-commutative Gauge Theory

TL;DR

This paper demonstrates that a D3 brane in a D9 brane with a transverse B-field can be described as a soliton solution in a six-dimensional non-commutative gauge theory, extending previous lower codimension results.

Contribution

It establishes the equivalence between D-brane configurations with transverse B-fields and soliton solutions in non-commutative gauge theories derived from D=10 supersymmetric models.

Findings

The D3-D9 system shares supersymmetry breaking patterns with a non-commutative gauge theory soliton.

The soliton solution corresponds to a low-energy realization of a D3 brane within a D9 brane.

Generalizes previous lower codimension D-brane soliton descriptions.

Abstract

We consider a Dp brane within a D9 brane in the presence of a B-field whose polarization is {\em transverse} to the Dp brane. To be definite, we take a D3-D9 system. It is observed that the system has the same pattern of supersymmetry breaking as that of a soliton of the six dimensional non-commutative gauge theory that is obtained by dimensional reduction of an {\cal N}=1, D=10 gauge theory. These results indicate that the soliton solution is the low energy realization of a D3 brane in a D9 brane with a transverse B-field, hence can be viewed as a generalization of the previous results in the literature where similar observations were made for lower codimensional cases.