M-Theory on Deformed Superspace

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.