TL;DR
This paper studies a noncommutative deformation of the ABJM theory within N=1 superspace, exploring its BRST symmetries, gauge invariances, and effects of mass terms, revealing new symmetries and invariances.
Contribution
It introduces a noncommutative deformation of ABJM theory and analyzes its BRST symmetries and gauge invariances in various gauges, including effects of mass terms.
Findings
Gauge fixing and ghost terms expressed as BRST and anti-BRST variations.
Invariance under additional symmetries in Landau and Curci-Ferrari gauges.
Mass term addition affects the symmetry structure of the theory.
Abstract
In this paper we will analyse a noncommutative deformation of the ABJM theory in N=1 superspace formalism. We will then analyse the BRST and the anti-BRST symmetries for this deformed ABJM theory, in linear as well as non-linear gauges. We will show that the sum of gauge fixing term and the ghost term for this deformed ABJM theory can be expressed as a combination of the total BRST and the total anti-BRST variation, in Landau and non-linear gauges. We will show that in Landau and Curci-Ferrari gauges this deformed ABJM theory is invariant under a additional set of symmetry transformations. We will also discuss the effect that the addition of a bare mass term has on this theory.
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