Reducing the Chern-Simons term by a symmetry

Abstract

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.

Email correspondence to [email protected] ; 7 pages, REVTeX

References in corpus (2)

• On The Finite Temperature Chern-Simons Coefficient
• Gauge Invariance, Finite Temperature and Parity Anomaly in D=3

Cited by in corpus (9)

• Dimensionally Reduced Gravitational Chern-Simons Term and its Kink
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• Creation and evolution of magnetic helicity
• Parity breaking in 2+1 dimensions and finite temperature
• Complex Monopoles in the Georgi-Glashow-Chern-Simons Model
• Induced Parity Breaking Term in Arbitrary Odd Dimensions at Finite Temperature
• Calorons in Weyl Gauge
• Non-static Dimensional Reduction of QED_3 at Finite Temperature
• Large Gauge Invariance in NonAbelian Finite Temperature Effective Actions