Non-Abelian Chern-Simons Quantum Mechanics
Taejin Lee, Phillial Oh
Abstract
We propose a classical model for the non-Abelian Chern-Simons theory coupled to N point-like sources and quantize the system using the BRST technique. The resulting quantum mechanics provides a unified framework for fractional spin, braid statistics and Knizhnik-Zamolodchikov equation.
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