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Manifestly covariant action for symmetric Chern-Simons field theory

Won Tae Kim·Myung Seok Yoon
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Abstract

We study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra belongs to fully first class constraint system. The Abelian Chern-Simons theory with matter coupling is studied for the construction of anyon operators without any ordering ambiguity with the help of this symmetric Chern-Simons action. Finally we shall discuss some connections between the present symmetric formulation of Chern-Simons theory and the Stükelberg mechanism.

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Won Tae Kim, Myung Seok Yoon. 1998-10-15. Manifestly covariant action for symmetric Chern-Simons field theory. https://arxiv.org/abs/hep-th/9808076

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