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Home > Advances in High Energy Physics (Hindawi) > Double Hodge Theory for a Particle on Torus |

Pandey, Vipul Kumar (Department of Physics, Banaras Hindu University, Varanasi 221005, India) ; Mandal, Bhabani Prasad (Department of Physics, Banaras Hindu University, Varanasi 221005, India)

27 November 2017

**Abstract: **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.

**Published in: ****Advances in High Energy Physics 2017 (2017) 6124189**
**Published by: **Hindawi

**DOI: **10.1155/2017/6124189

**arXiv: **1708.06625

**License: **CC-BY-3.0