# Instantons, fermions and Chern-Simons terms

@article{Collie2008InstantonsFA,
title={Instantons, fermions and Chern-Simons terms},
author={Benjamin Collie and David Tong},
journal={Journal of High Energy Physics},
year={2008},
volume={2008},
pages={015-015}
}
• Published 10 April 2008
• Physics
• Journal of High Energy Physics
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. We show that this magnetic field is equal to…
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