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- Title
Supervariable Approach to the Nilpotent Symmetries for a Toy Model of the Hodge Theory.
- Authors
Shukla, D.; Bhanja, T.; Malik, R. P.
- Abstract
We exploit the standard techniques of the supervariable approach to derive the nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for a toy model of the Hodge theory (i.e., a rigid rotor) and provide the geometrical meaning and interpretation to them. Furthermore, we also derive the nilpotent (anti-)co-BRST symmetry transformations for this theory within the framework of the above supervariable approach. We capture the (anti-)BRST and (anti-)co-BRST invariance of the Lagrangian of our present theory within the framework of augmented supervariable formalism. We also express the (anti-)BRST and (anti-)co-BRST charges in terms of the supervariables (obtained after the application of the (dual-)horizontality conditions and (anti-)BRST and (anti-)co-BRST invariant restrictions) to provide the geometrical interpretations for their nilpotency and anticommutativity properties. The application of the dual-horizontality condition and ensuing proper (i.e., nilpotent and absolutely anticommuting) fermionic (anti-)co-BRST symmetries are completely novel results in our present investigation.
- Subjects
NILPOTENT groups; SYMMETRIES (Quantum mechanics); HODGE theory; LAGRANGIAN mechanics; FORMALISM (Architecture)
- Publication
Advances in High Energy Physics, 2016, p1
- ISSN
1687-7357
- Publication type
Article
- DOI
10.1155/2016/2618150