Christ-Lee Model: (Anti-)Chiral Supervariable Approach to BRST Formalism
2021
We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST and (anti-)co-BRST symmetry transformations for the Christ--Lee (CL) model in one (0 + 1)-dimension of spacetime by exploiting the (anti-)chiral supervariable approach (ACSA) to BRST formalism where a few specific and appropriate sets of invariant quantities play a decisive role. We prove the nilpotency and absolute anticommutativity properties of the (anti-)BRST and (anti-)co-BRST conserved charges within the framework of ACSA to BRST formalism where we take only one Grassmannian variable into account. We also show the (anti-)BRST and (anti-)co-BRST invariances of the Lagrangian within the framework of ACSA.
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