ADHM Revisited: Instantons and Wilson Lines

Understand

We revisit the well-studied D0-D4 system of D-branes and its relationship to the ADHM construction.

• It is well known that the D0-branes appear as instantons in the D4-brane worldvolume.
• We add a Wilson line to the D4-brane in the guise of an extended fundamental string and determine how this affects the D0-brane dynamics.
• As the D0-brane moves in the presence of the Wilson line, it experiences a Lorentz force, proportional to its Yang-Mills gauge connection.