(Anti-)BRST Symmetries in FLRW Model: Supervariable Approach

We derive the off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations corresponding to the local time-reparametrization symmetry transformation of the $(0+1)$-dimensional (1D) diffeomorphism (i.e. time-reparameterization) invariant FRLW model within the framework of supervariable approach BRST formalism. An application of (super-)diffeomorphism invariance yields horizontality conditions. The celebrated CF-type of condition which emerges as an off-shoot of the horizontality condition provides the absolute anticommutativity of the (anti-)BRST transformations. In addition, this CF-type condition is required for the derivation of coupled (but equivalent) Lagrangians. We also capture the (anti-)BRST invariance of the Lagrangians in terms of the Grassmannian translational generators and supervariables.