Notes on the Super Nambu Bracket
数学物理
2009-11-07 v2 math.MP
摘要
We define a super Nambu-Poisson algebra over a super manifold. A super Nambu bracket does not satisfy the usual skew-symmetric property, and we propose another skew-symmetric property. We show that the divergence of super Nambu-Hamiltonian vector fields leads to a generalization of the Batalin-Vilkovisky algebra.
引用
@article{arxiv.math-ph/0208040,
title = {Notes on the Super Nambu Bracket},
author = {M. Sakakibara},
journal= {arXiv preprint arXiv:math-ph/0208040},
year = {2009}
}
备注
9 pages, no figures, AMS-LaTeX, ptptex.cls, some errors corrected, version to appear in PTP