Double Hodge Theory for a particle on Torus
General Physics
2018-05-09 v1 High Energy Physics - Theory
Quantum Physics
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.
Cite
@article{arxiv.1708.06625,
title = {Double Hodge Theory for a particle on Torus},
author = {Vipul Kumar Pandey and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:1708.06625},
year = {2018}
}
Comments
14 pages. arXiv admin note: substantial text overlap with arXiv:1308.0982, text overlap with arXiv:hep-th/0312073 by other authors