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A Vector Non-abelian Chern-Simons Duality

H. Garcia-Compean·O. Obregon·C. Ramirez
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Abstract

Abelian Chern-Simons gauge theory is known to possess a `$S$-self-dual' action where its coupling constant $k$ is inverted {\it i.e.} $k \leftrightarrow {1 \over k}$. Here a vector non-abelian duality is found in the pure non-abelian Chern-Simons action at the classical level. The dimensional reduction of the dual Chern-Simons action to two-dimensions constitutes a dual Wess-Zumino-Witten action already given in the literature.

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H. Garcia-Compean, O. Obregon, C. Ramirez. 2001-11-04. A Vector Non-abelian Chern-Simons Duality. https://doi.org/10.1103/physrevd.65.045006

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