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Abstract: In five spacetime dimensions, instantons are finite energy, solitonicparticles. We describe the dynamics of these objects in the presence of aChern-Simons interaction. For UN instantons, we show that the 5d Chern-Simonsterm induces a corresponding Chern-Simons term in the ADHM quantum mechanics.For SUN instantons, we provide a description in terms of geodesic motion onthe instanton moduli space, modified by the presence of a magnetic field. Weshow that this magnetic field is equal to the first Chern character of an indexbundle. All of these results are derived by a simple method which follows thefate of zero modes as fermions are introduced, made heavy, and subsequentlyintegrated out.



Author: Benjamin Collie, David Tong

Source: https://arxiv.org/



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