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In this paper, we will analyze the breaking of Lorentz symmetry using aether superspace. We will analyze the aether deformation of a Chern–Simons theory using this deformed superspace. As this theory, will have gauge symmetry, we will add gauge and ghost terms to the original action. We will analyze the nonlinear BRST symmetry for this theory. We also analyze the quantum BRST symmetry in BV formalism.
In this paper, we will analyze a super-Yang–Mills Theory on a Lorentz breaking background. This theory will be analyzed using aether superspace formalism. We will also study the quantum symmetries of this theory. Thus, we will analyze this theory both in linear and nonlinear gauges. We will also study the effects of adding a bare mass term in the Curci–Ferrari gauge.