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arXiv · 1207.6564

The BV Formalization of Chern-Simons Theory on Deformed Superspace

Mir Faizal
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Abstract

In this paper we will study non-abelian Chern-Simons theory on a deformed superspace. We will deform the superspace in such a way that it includes the noncommutativity between bosonic and fermionic coordinates. We will first analyse the BRST and the anti-BRST symmetries of the Chern-Simons theory on this deformed superspace. Then we will analyse the extended BRST and the extended anti-BRST symmetries of this theory in the Batalin-Vilkovisky (BV) formalism. Finally, we will express these extended BRST and extended anti-BRST symmetries in extended superspace formalism by introducing new Grassmann coordinates.

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Mir Faizal. 2012-07-27. The BV Formalization of Chern-Simons Theory on Deformed Superspace. https://doi.org/10.1088/0253-6102%2F58%2F5%2F14

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