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arXiv · hep-th/0004084

Chern-Simons Reduction and non-Abelian Fluid Mechanics

R. Jackiw·V. P. Nair·So-Young Pi
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Abstract

We propose a non-Abelian generalization of the Clebsch parameterization for a vector in three dimensions. The construction is based on a group-theoretical reduction of the Chern-Simons form on a symmetric space. The formalism is then used to give a canonical (symplectic) discussion of non-Abelian fluid mechanics, analogous to the way the Abelian Clebsch parameterization allows a canonical description of conventional fluid mechanics.

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R. Jackiw, V. P. Nair, So-Young Pi. 2000-07-17. Chern-Simons Reduction and non-Abelian Fluid Mechanics. https://doi.org/10.1103/physrevd.62.085018

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