Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca Theory

We derive the complete set of off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations for all the fields of the modified version of two (1+1)-dimensional (2D) Proca theory by exploiting the “augmented” superfield forma...

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Main Authors: A. Shukla, S. Krishna, R. P. Malik
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2015/258536
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author A. Shukla
S. Krishna
R. P. Malik
author_facet A. Shukla
S. Krishna
R. P. Malik
author_sort A. Shukla
collection DOAJ
description We derive the complete set of off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations for all the fields of the modified version of two (1+1)-dimensional (2D) Proca theory by exploiting the “augmented” superfield formalism where the (dual-)horizontality conditions and (dual-)gauge invariant restrictions are exploited together. We capture the (anti-)BRST and (anti-)co-BRST invariance of the Lagrangian density in the language of superfield approach. We also express the nilpotency and absolute anticommutativity of the (anti-)BRST and (anti-)co-BRST charges within the framework of augmented superfield formalism. This exercise leads to some novel observations which have, hitherto, not been pointed out in the literature within the framework of superfield approach to BRST formalism. For the sake of completeness, we also mention, very briefly, a unique bosonic symmetry, the ghost-scale symmetry, and discrete symmetries of the theory and show that the algebra of conserved charges provides a physical realization of the Hodge algebra (satisfied by the de Rham cohomological operators of differential geometry).
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spelling doaj-art-381e99ada7f349078baf7b4c97b683b72025-02-03T05:43:53ZengWileyAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/258536258536Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca TheoryA. Shukla0S. Krishna1R. P. Malik2Physics Department, Centre of Advanced Studies, Banaras Hindu University, Varanasi 221 005, IndiaPhysics Department, Centre of Advanced Studies, Banaras Hindu University, Varanasi 221 005, IndiaPhysics Department, Centre of Advanced Studies, Banaras Hindu University, Varanasi 221 005, IndiaWe derive the complete set of off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations for all the fields of the modified version of two (1+1)-dimensional (2D) Proca theory by exploiting the “augmented” superfield formalism where the (dual-)horizontality conditions and (dual-)gauge invariant restrictions are exploited together. We capture the (anti-)BRST and (anti-)co-BRST invariance of the Lagrangian density in the language of superfield approach. We also express the nilpotency and absolute anticommutativity of the (anti-)BRST and (anti-)co-BRST charges within the framework of augmented superfield formalism. This exercise leads to some novel observations which have, hitherto, not been pointed out in the literature within the framework of superfield approach to BRST formalism. For the sake of completeness, we also mention, very briefly, a unique bosonic symmetry, the ghost-scale symmetry, and discrete symmetries of the theory and show that the algebra of conserved charges provides a physical realization of the Hodge algebra (satisfied by the de Rham cohomological operators of differential geometry).http://dx.doi.org/10.1155/2015/258536
spellingShingle A. Shukla
S. Krishna
R. P. Malik
Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca Theory
Advances in High Energy Physics
title Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca Theory
title_full Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca Theory
title_fullStr Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca Theory
title_full_unstemmed Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca Theory
title_short Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca Theory
title_sort augmented superfield approach to nilpotent symmetries of the modified version of 2d proca theory
url http://dx.doi.org/10.1155/2015/258536
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AT skrishna augmentedsuperfieldapproachtonilpotentsymmetriesofthemodifiedversionof2dprocatheory
AT rpmalik augmentedsuperfieldapproachtonilpotentsymmetriesofthemodifiedversionof2dprocatheory