Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches

We carry out the Becchi-Rouet-Stora-Tyutin (BRST) quantization of one (0 + 1)-dimensional (1D) model a free massive spinning relativistic particle (i.e. supersymmetric system) by exploiting its classical infinitesimal and continuous reparameterization symmetry transformations. use modified Bonora-Tonin (BT) supervariable approach (MBTSA) to BRST formalism obtain nilpotent (anti-)BRST transformations target space variables invariant Curci-Ferrari (CF)-type restriction for 1D our (SUSY) system. The other are derived using (anti-)chiral (ACSA) formalism. Within framework latter, we have shown existence CF-type proving (i) invariance coupled Lagrangians, (ii) absolute anticommutativity property conserved charges. application MBTSA physical SUSY system particle) is novel result in present endeavor. In ACSA, considered only super expansions supervariables. Hence, observation charges result. universal nature as it turns be same non-SUSY diffeomorphism) models (non-)relativistic particles.