文章基本信息

标题：Supervariable Approach to the Nilpotent Symmetries for a Toy Model of the Hodge Theory
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作者：D. Shukla ; T. Bhanja ; R. P. Malik 等
期刊名称：Advances in High Energy Physics
印刷版ISSN：1687-7357
电子版ISSN：1687-7365
出版年度：2016
卷号：2016
DOI：10.1155/2016/2618150
出版社：Hindawi Publishing Corporation
摘要：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.