Notes on the Super Nambu Bracket | Zendy

M. Sakakibara | Zendy

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Notes on the Super Nambu Bracket

Author(s) -

M. Sakakibara

Publication year - 2003

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.109.305

Subject(s) - physics , poisson bracket , skew , bracket , hamiltonian (control theory) , pure mathematics , generalization , property (philosophy) , algebra over a field , mathematical physics , lie algebra , mathematics , mathematical analysis , quantum mechanics , mechanical engineering , mathematical optimization , philosophy , epistemology , astronomy , engineering

We define a super Nambu-Poisson algebra over a super manifold. A super Nambubracket does not satisfy the usual skew-symmetric property, and we proposeanother skew-symmetric property. We show that the divergence of superNambu-Hamiltonian vector fields leads to a generalization of theBatalin-Vilkovisky algebra.Comment: 9 pages, no figures, AMS-LaTeX, ptptex.cls, some errors corrected, version to appear in PT

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