REDUCING THE CHERN-SIMONS TERM BY A SYMMETRY

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