Notes on the Super Nambu Bracket

Abstract

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.

9 pages, no figures, AMS-LaTeX, ptptex.cls, some errors corrected, version to appear in PTP