The BV Formalization of Chern-Simons Theory on Deformed Superspace
Mir Faizal
TL;DR
This paper explores the formalization of non-abelian Chern-Simons theory on a deformed superspace, analyzing its BRST symmetries within the BV formalism and extending these symmetries in superspace.
Contribution
It introduces a BV formalization of Chern-Simons theory on deformed superspace, including extended BRST symmetries in an extended superspace framework.
Findings
BRST and anti-BRST symmetries analyzed on deformed superspace
Extended BRST symmetries expressed in extended superspace
Formalization facilitates understanding of gauge symmetries in deformed superspaces
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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