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- W3100537588 abstract "We clearly and consistently supersymmetrize the celebrated horizontality condition to derive the off-shell nilpotent and absolutely anticommuting Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST symmetry transformations for the supersymmetric system of a free spinning relativistic particle within the framework of superfield approach to BRST formalism. For the precise determination of the proper (anti-)BRST symmetry transformations for all the bosonic and fermionic dynamical variables of our system, we consider the present theory on a (1,2)-dimensional supermanifold parameterized by an even (bosonic) variable (τ) and a pair of odd (fermionic) variables θ and $bar{theta}$ (with $theta^{2} = bar{theta}^{2} = 0$ , $thetabar{theta}+ bar{theta}theta= 0$ ) of the Grassmann algebra. One of the most important and novel features of our present investigation is the derivation of (anti-)BRST invariant Curci–Ferrari type restriction which turns out to be responsible for the absolute anticommutativity of the (anti-)BRST transformations and existence of the coupled (but equivalent) Lagrangians for the present theory of a supersymmetric system. These observations are completely new results for this model." @default.
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- W3100537588 date "2012-10-01" @default.
- W3100537588 modified "2023-10-18" @default.
- W3100537588 title "Supersymmetrization of horizontality condition: nilpotent symmetries for a free spinning relativistic particle" @default.
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- W3100537588 doi "https://doi.org/10.1140/epjc/s10052-012-2188-6" @default.
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