We consider models in which nonrelativistic matter fields interact with gauge fields whose dynamics are governed by the Chern-Simons term. The relevant equations of motion are derived and reduced dimensionally in time or in space. Interesting solitonic equations emerge and their solutions are described. Finally, we consider a Chern-Simons term in three-dimensional Euclidean space, reduced by spherical symmetry, and we discuss its effect on monopole and instanton solutions.
@article{arxiv.hep-th/9808036,
title = {Dimensionally Reduced Chern-Simons Terms and their Solitons},
author = {R. Jackiw and So-Young Pi},
journal= {arXiv preprint arXiv:hep-th/9808036},
year = {2007}
}