ADHM Revisited: Instantons and Wilson Lines

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.

15 pages, 1 figure. Published in PRD under the title "Instantons, Wilson lines, and D-branes"

References in corpus (2)

• Holographic Wilson Loops
• The 't Hooft-Polyakov Monopole in the Presence of a 't Hooft Operator

Cited by in corpus (5)

• Duality walls and defects in 5d N=1 theories
• AdS${}_2$ duals to ADHM quivers with Wilson lines
• Bethe/Gauge correspondence in odd dimension: modular double, non-perturbative corrections and open topological strings
• Quantum Geometry and $\theta$-Angle in Five-Dimensional Super Yang-Mills
• OPE of line defects in 5d $E_n$ SCFT