Instantons, Fermions and Chern-Simons Terms

Understand

In five spacetime dimensions, instantons are finite energy, solitonic particles.

• We describe the dynamics of these objects in the presence of a Chern-Simons interaction.
• For U(N) instantons, we show that the 5d Chern-Simons term induces a corresponding Chern-Simons term in the ADHM quantum mechanics.
• For SU(N) instantons, we provide a description in terms of geodesic motion on the instanton moduli space, modified by the presence of a magnetic field.