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arXiv · 1702.04134

Christ-Lee Model: Augmented Supervariable Approach

R. Kumar·A. Shukla
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Abstract

We derive the complete set of off-shell nilpotent and absolutely anticommuting (anti-)BRST as well as (anti-)co-BRST symmetry transformations for the gauge-invariant Christ-Lee model by exploiting the celebrated (dual-)horizontality conditions together with the gauge-invariant and (anti-)co-BRST invariant restrictions within the framework of geometrical "augmented" supervariable approach to BRST formalism. We show the (anti-) BRST and (anti-)co-BRST invariances of the Lagrangian in the context of supervariable approach. We also provide the geometrical origin and capture the key properties associated with the (anti-)BRST and (anti-)co-BRST symmetry transformations (and corresponding conserved charges) in terms of the supervariables and Grassmannian translational generators.

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R. Kumar, A. Shukla. 2018-10-12. Christ-Lee Model: Augmented Supervariable Approach. https://doi.org/10.1155/2018%2F7381387

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