Double Hodge Theory for a Particle on Torus
We investigate all possible nilpotent symmetries for a particle on torus. We explicitly construct four independent nilpotent BRST symmetries for such systems and derive the algebra between the generators of such symmetries. We show that such a system has rich mathematical properties and behaves as d...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/6124189 |
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| _version_ | 1832557033110372352 |
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| author | Vipul Kumar Pandey Bhabani Prasad Mandal |
| author_facet | Vipul Kumar Pandey Bhabani Prasad Mandal |
| author_sort | Vipul Kumar Pandey |
| collection | DOAJ |
| description | We investigate all possible nilpotent symmetries for a particle on torus. We explicitly construct four independent nilpotent BRST symmetries for such systems and derive the algebra between the generators of such symmetries. We show that such a system has rich mathematical properties and behaves as double Hodge theory. We further construct the finite field dependent BRST transformation for such systems by integrating the infinitesimal BRST transformation systematically. Such a finite transformation is useful in realizing the various theories with toric geometry. |
| format | Article |
| id | doaj-art-7a8bb3554f274a52a66b9acaac45bb02 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-7a8bb3554f274a52a66b9acaac45bb022025-02-03T05:43:52ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/61241896124189Double Hodge Theory for a Particle on TorusVipul Kumar Pandey0Bhabani Prasad Mandal1Department of Physics, Banaras Hindu University, Varanasi 221005, IndiaDepartment of Physics, Banaras Hindu University, Varanasi 221005, IndiaWe investigate all possible nilpotent symmetries for a particle on torus. We explicitly construct four independent nilpotent BRST symmetries for such systems and derive the algebra between the generators of such symmetries. We show that such a system has rich mathematical properties and behaves as double Hodge theory. We further construct the finite field dependent BRST transformation for such systems by integrating the infinitesimal BRST transformation systematically. Such a finite transformation is useful in realizing the various theories with toric geometry.http://dx.doi.org/10.1155/2017/6124189 |
| spellingShingle | Vipul Kumar Pandey Bhabani Prasad Mandal Double Hodge Theory for a Particle on Torus Advances in High Energy Physics |
| title | Double Hodge Theory for a Particle on Torus |
| title_full | Double Hodge Theory for a Particle on Torus |
| title_fullStr | Double Hodge Theory for a Particle on Torus |
| title_full_unstemmed | Double Hodge Theory for a Particle on Torus |
| title_short | Double Hodge Theory for a Particle on Torus |
| title_sort | double hodge theory for a particle on torus |
| url | http://dx.doi.org/10.1155/2017/6124189 |
| work_keys_str_mv | AT vipulkumarpandey doublehodgetheoryforaparticleontorus AT bhabaniprasadmandal doublehodgetheoryforaparticleontorus |