Universal Superspace Unitary Operator and Nilpotent (Anti-)Dual-BRST Symmetries: Superfield Formalism
We exploit the key concepts of the augmented version of superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism to derive the superspace (SUSP) dual unitary operator and its Hermitian conjugate and demonstrate their utility in the derivation of the nilpotent and absolutely anticommuting (a...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/2764245 |
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| author | T. Bhanja N. Srinivas R. P. Malik |
| author_facet | T. Bhanja N. Srinivas R. P. Malik |
| author_sort | T. Bhanja |
| collection | DOAJ |
| description | We exploit the key concepts of the augmented version of superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism to derive the superspace (SUSP) dual unitary operator and its Hermitian conjugate and demonstrate their utility in the derivation of the nilpotent and absolutely anticommuting (anti-)dual-BRST symmetry transformations for a set of interesting models of the Abelian 1-form gauge theories. These models are the one (0+1)-dimensional (1D) rigid rotor and modified versions of the two (1+1)-dimensional (2D) Proca as well as anomalous gauge theories and 2D model of a self-dual bosonic field theory. We show the universality of the SUSP dual unitary operator and its Hermitian conjugate in the cases of all the Abelian models under consideration. These SUSP dual unitary operators, besides maintaining the explicit group structure, provide the alternatives to the dual horizontality condition (DHC) and dual gauge invariant restrictions (DGIRs) of the superfield formalism. The derivations of the dual unitary operators and corresponding (anti-)dual-BRST symmetries are completely novel results in our present investigation. |
| format | Article |
| id | doaj-art-5f86433a41ea47a99fcdddf0b6ae6f02 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-5f86433a41ea47a99fcdddf0b6ae6f022025-02-03T01:31:32ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/27642452764245Universal Superspace Unitary Operator and Nilpotent (Anti-)Dual-BRST Symmetries: Superfield FormalismT. Bhanja0N. Srinivas1R. 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 exploit the key concepts of the augmented version of superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism to derive the superspace (SUSP) dual unitary operator and its Hermitian conjugate and demonstrate their utility in the derivation of the nilpotent and absolutely anticommuting (anti-)dual-BRST symmetry transformations for a set of interesting models of the Abelian 1-form gauge theories. These models are the one (0+1)-dimensional (1D) rigid rotor and modified versions of the two (1+1)-dimensional (2D) Proca as well as anomalous gauge theories and 2D model of a self-dual bosonic field theory. We show the universality of the SUSP dual unitary operator and its Hermitian conjugate in the cases of all the Abelian models under consideration. These SUSP dual unitary operators, besides maintaining the explicit group structure, provide the alternatives to the dual horizontality condition (DHC) and dual gauge invariant restrictions (DGIRs) of the superfield formalism. The derivations of the dual unitary operators and corresponding (anti-)dual-BRST symmetries are completely novel results in our present investigation.http://dx.doi.org/10.1155/2016/2764245 |
| spellingShingle | T. Bhanja N. Srinivas R. P. Malik Universal Superspace Unitary Operator and Nilpotent (Anti-)Dual-BRST Symmetries: Superfield Formalism Advances in High Energy Physics |
| title | Universal Superspace Unitary Operator and Nilpotent (Anti-)Dual-BRST Symmetries: Superfield Formalism |
| title_full | Universal Superspace Unitary Operator and Nilpotent (Anti-)Dual-BRST Symmetries: Superfield Formalism |
| title_fullStr | Universal Superspace Unitary Operator and Nilpotent (Anti-)Dual-BRST Symmetries: Superfield Formalism |
| title_full_unstemmed | Universal Superspace Unitary Operator and Nilpotent (Anti-)Dual-BRST Symmetries: Superfield Formalism |
| title_short | Universal Superspace Unitary Operator and Nilpotent (Anti-)Dual-BRST Symmetries: Superfield Formalism |
| title_sort | universal superspace unitary operator and nilpotent anti dual brst symmetries superfield formalism |
| url | http://dx.doi.org/10.1155/2016/2764245 |
| work_keys_str_mv | AT tbhanja universalsuperspaceunitaryoperatorandnilpotentantidualbrstsymmetriessuperfieldformalism AT nsrinivas universalsuperspaceunitaryoperatorandnilpotentantidualbrstsymmetriessuperfieldformalism AT rpmalik universalsuperspaceunitaryoperatorandnilpotentantidualbrstsymmetriessuperfieldformalism |