Braga, "Wilson loops for a quark antiquark pair in D3-brane space," Journal of High Energy Physics.
Tseytlin, "1/N correction in the D3-brane description of a circular Wilson loop at strong coupling," Physical Review D--Particles, Fields, Gravitation and Cosmology, vol.
Passerini, "Wilson loops as D3-branes," Journal of High Energy Physics.
It's known in the literature that there are many different but physically equivalent descriptions of how a D1-brane may end on a D3-brane. From the point of view of the D3 brane the configuration is described by a monopole on its world volume.
It was showed in  that the BI action, when taken as the fundamental action, can be used to build a configuration with a semi-infinite fundamental string ending on a D3-brane .
The solutions of the equation of motion of the scalar fields [[phi].sub.i], i = 1, 2, 3 represent the D-string expanding into a D3-brane analogous to the bion solution of the D3-brane theory [2, 3].
To get D3-branes from D-strings, we use the non-abelian BI action