Weil Algebra, 3-Lie Algebra and B.R.S. Algebra
Rings and Algebras
2018-02-16 v1 High Energy Physics - Theory
Abstract
We consider the 3-Lie algebra induced by a Lie algebra with the help of an analog of a trace. We propose the extension of the Weil algebra of a Lie algebra to the Weil algebra of induced 3-Lie algebra by introducing in addition to an analog of connection and its curvature new elements and defining their differential by means of structure constants of 3-Lie algebra. We also propose a new approach to the universal B.R.S. algebra based on the quantum triple Nambu bracket.
Cite
@article{arxiv.1802.05576,
title = {Weil Algebra, 3-Lie Algebra and B.R.S. Algebra},
author = {Viktor Abramov},
journal= {arXiv preprint arXiv:1802.05576},
year = {2018}
}
Comments
10 pages, will appear in the Proceedings of International Conference on Stochastic Processes and Algebraic Structures (SPAS2017)