Reducing the Chern-Simons term by a symmetry

Reducing a 3-dimensional Chem-Simons term by a symmetry yields other topologically interesting structures. Specifically, reducing by radial symmetry results in a 1-dimensional quantum mechanical model, which has recently been used in an analysis of finite-temperature Chern-Simons theory. The radially symmetric expression may be inserted into 3-dimensional monopole or (2 + 1)-dimensional instanton equations, where it eliminates the monopole or instanton solutions. (C) 1998 Elsevier Science B.V.