ADHM Revisited: Instantons and Wilson Lines
David Tong, Kenny Wong
TL;DR
This paper explores how adding a Wilson line to the D4-brane affects D0-brane instanton dynamics, revealing a Lorentz force consistent with the ADHM construction and extending understanding of D-brane interactions.
Contribution
It demonstrates how Wilson lines influence D0-brane dynamics within the ADHM framework, providing new insights into D-brane gauge interactions.
Findings
D0-branes experience a Lorentz force from Wilson lines.
The force aligns with the gauge connection in the ADHM construction.
Wilson lines modify the D0-brane quantum mechanics dynamics.
Abstract
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. From the perspective of the D0-brane quantum mechanics, this force emerges through the ADHM construction of the self-dual gauge connection.
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