Linear Odd Poisson Bracket on Grassmann Algebra
数学物理
2007-05-23 v1 高能物理 - 理论
群论
math.MP
摘要
A linear odd Poisson bracket realized solely in terms of Grassmann variables is suggested. It is revealed that with the bracket, corresponding to a semi-simple Lie group, both a Grassmann-odd Casimir function and invariant (with respect to this group) nilpotent differential operators of the first, second and third orders are naturally related and enter into a finite-dimensional Lie superalgebra. A connection of the quantities, forming this Lie superalgebra, with the BRST charge, -operator and ghost number operator is indicated.
引用
@article{arxiv.math-ph/0002031,
title = {Linear Odd Poisson Bracket on Grassmann Algebra},
author = {Vyacheslav A. Soroka},
journal= {arXiv preprint arXiv:math-ph/0002031},
year = {2007}
}
备注
8 pages, LATEX 2.09. The talk given at the International Seminar "Supersymmetries and Quantum Symmetries" (SQS'99, JINR, Dubna, Russia, 27-31 July, 1999). To be published in the Proceedings of this Seminar