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:	Vipul Kumar Pandey, Bhabani Prasad Mandal
Format:	Article
Language:	English
Published:	Hindawi Limited 2017-01-01
Series:	Advances in High Energy Physics
Online Access:	http://dx.doi.org/10.1155/2017/6124189

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record_format	Article
spelling	doaj-7a8bb3554f274a52a66b9acaac45bb022020-11-24T21:41:06ZengHindawi LimitedAdvances 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Vipul Kumar Pandey Bhabani Prasad Mandal
spellingShingle	Vipul Kumar Pandey Bhabani Prasad Mandal Double Hodge Theory for a Particle on Torus Advances in High Energy Physics
author_facet	Vipul Kumar Pandey Bhabani Prasad Mandal
author_sort	Vipul Kumar Pandey
title	Double Hodge Theory for a Particle on Torus
title_short	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_sort	double hodge theory for a particle on torus
publisher	Hindawi Limited
series	Advances in High Energy Physics
issn	1687-7357 1687-7365
publishDate	2017-01-01
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.
url	http://dx.doi.org/10.1155/2017/6124189
work_keys_str_mv	AT vipulkumarpandey doublehodgetheoryforaparticleontorus AT bhabaniprasadmandal doublehodgetheoryforaparticleontorus
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Double Hodge Theory for a Particle on Torus

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