D-branes as solitons of an $\mathcal{N}=1,$ $D=10\mathrm{}$ noncommutative gauge theory

We consider a Dp-brane within a D9-brane in the presence of a B field whose polarization is 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 noncommutative gauge theory that is obtained by dimensional reduction of an $\mathcal{N}=1,D=10\mathrm{}$ 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 and, hence, can be viewed as a generalization of the previous results in the literature where similar observations were made for lower codimensional cases.