Reducing the Chern-Simons term by a symmetry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Email correspondence to jackiw@mitlns.mit.edu ; 7 pages, REVTeX

Scientific paper

10.1016/S0370-2693(98)00104-X

Reducing a 3-dimensional Chern-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.

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