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Advances in High Energy Physics
Volume 2017, Article ID 6138263, 14 pages
https://doi.org/10.1155/2017/6138263
Research Article

(Anti)chiral Superfield Approach to Nilpotent Symmetries: Self-Dual Chiral Bosonic Theory

1Physics Department, Centre of Advanced Studies, Banaras Hindu University, Varanasi 221 005, India
2DST Centre for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University, Varanasi 221 005, India

Correspondence should be addressed to T. Bhanja; moc.liamg@ajnahb.otorbopat

Received 21 November 2016; Accepted 29 January 2017; Published 7 March 2017

Academic Editor: George Siopsis

Copyright © 2017 N. Srinivas et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We exploit the beauty and strength of the symmetry invariant restrictions on the (anti)chiral superfields to derive the Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations in the case of a two -dimensional (2) self-dual chiral bosonic field theory within the framework of augmented (anti)chiral superfield formalism. Our 2 ordinary theory is generalized onto a -dimensional supermanifold which is parameterized by the superspace variable , where (with ) are the ordinary 2 bosonic coordinates and () are a pair of Grassmannian variables with their standard relationships: , . We impose the (anti-)BRST and (anti-)co-BRST invariant restrictions on the (anti)chiral superfields (defined on the (anti)chiral -dimensional supersubmanifolds of the above general -dimensional supermanifold) to derive the above nilpotent symmetries. We do not exploit the mathematical strength of the (dual-)horizontality conditions anywhere in our present investigation. We also discuss the properties of nilpotency, absolute anticommutativity, and (anti-)BRST and (anti-)co-BRST symmetry invariance of the Lagrangian density within the framework of our augmented (anti)chiral superfield formalism. Our observation of the absolute anticommutativity property is a completely novel result in view of the fact that we have considered only the (anti)chiral superfields in our present endeavor.