Notes on the Super Nambu Bracket

Details Notes on the Super Nambu Bracket Notes on the Super Nambu Bracket

2002-08-29

arxiv.org/abs/math-ph/0208040v2

Physics

Mathematical Physics

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

Scientific paper

10.1143/PTP.109.305

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.

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