Abstract
In this article, we study gauge symmetries of the Non-Abelian Supersymmetric Chern-Simons model (SCS) of SU(2) group at (2+1)-dimensions in the framework of the formalism of constrained systems. Since, broken gauge symmetries in this physical system lead to the presence of nonphysical degrees of freedom, the Non-Abelian SCS model is strictly constrained to second-class constraints. Hence, by introducing some auxiliary fields and using finite order BFT method, we obtain a gauge symmetric model by converting second-class constraint to first-class ones. Ultimately, the partition function of the model is obtained in the extended phase space.
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Notes
In order to simplify our notation, we neglect ρ indices in this part of the paper.
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Gharavi, K.B., Monemzadeh, M. & Nejad, S.A. Enhancing Gauge Symmetries of Non-Abelian Supersymmetric Chern-Simons Model. Int J Theor Phys 55, 4671–4680 (2016). https://doi.org/10.1007/s10773-016-3088-6
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DOI: https://doi.org/10.1007/s10773-016-3088-6