Born-infeld strings between D-branes

We examine the solutions of the world-volume action for a D3-brane being put near other D3-branes which is replaced by the background configuration of bulk space. It is shown that the BPS solutions, which have been given by Gauntlett et al., are not affected by the D3-brane background, and they are interpreted as dyonic strings connecting two branes. On the contrary, the non-BPS configurations are largely influenced by the background D-brane, and we find that the solutions with pure electric charge cannot connect two branes. These solutions correspond to the bound state of a brane and antibrane which has been found by Callan and Maldacena.