Born-Infeld strings between D-branes

TL;DR

This paper studies how Born-Infeld string solutions on a D3-brane are affected by nearby D3-branes, revealing that BPS solutions remain unchanged while non-BPS solutions are significantly influenced by the background, affecting their connection between branes.

Contribution

It demonstrates that BPS solutions are unaffected by the D-brane background, whereas non-BPS solutions are altered, providing new insights into brane interactions and bound states.

Findings

BPS solutions are unaffected by the D-brane background.

Non-BPS solutions are significantly influenced, especially with pure electric charge.

Pure electric charge solutions cannot connect two branes, indicating bound states.

Abstract

We examine the solutions of world-volume action for a D3-brane being put near other D3-brane which is replaced by the background configuration of bulk space. It is shown that the BPS solutions 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 are corresponding to the bound state of brane and anti-brane which has been found by Callan and Maldacena