Rigid Rotor as a Toy Model for Hodge Theory

Details Rigid Rotor as a Toy Model for Hodge Theory Rigid Rotor as a Toy Model for Hodge Theory

2009-10-15

arxiv.org/abs/0910.2880v4

Eur. Phys. J C 68: 325-335, (2010)

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 22 pages

Scientific paper

10.1140/epjc/s10052-010-1313-7

We apply the superfield approach to the toy model of a rigid rotor and show the existence of the nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations, under which, the kinetic term and action remain invariant. Furthermore, we also derive the off-shell nilpotent and absolutely anticommuting (anti-) co-BRST symmetry transformations, under which, the gauge-fixing term and Lagrangian remain invariant. The anticommutator of the above nilpotent symmetry transformations leads to the derivation of a bosonic symmetry transformation, under which, the ghost terms and action remain invariant. Together, the above transformations (and their corresponding generators) respect an algebra that turns out to be a physical realization of the algebra obeyed by the de Rham cohomological operators of differential geometry. Thus, our present model is a toy model for the Hodge theory.

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