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A superspace description of Friedmann-Robertson-Walker models

We illustrate the cosmological Friedmann-Robertson-Walker (FRW) models realized as gauge theory in the extended configuration space with its Becchi-Rouet-Stora-Tyutin (BRST) invariance upto total derivative. To investigate the model in Batalin-Vilkovisky (BV) formalism the Lagrangian density of the models is further extended by introducing shifted fields corresponding to all fields. The extended Lagrangian density having shifted fields admits more general BRST symmetry (including shift symmetry), called as extended BRST symmetry. In this framework the antighost fields corresponding to the shift symmetry get identified with antifields of BV formulation. Further, we analyse the models on supermanifold with the help of additional super (Grassmannian) coordinate $θ$. Remarkably, we observe that the $θ$ components of superfields produces the gauge-fixing term in tandem with ghost term of the effective Lagrangian density naturally. Furthermore, we show that the quantum master equation of the BV quantization method can be translated to have a superfield structure for the FRW models.