Cubic Matrix, Nambu Mechanics and Beyond

DOI10.1143/PTP.109.153zbMath1113.70313arXivhep-th/0207054MaRDI QIDQ4462533

Yoshiharu Kawamura

Publication date: 18 May 2004

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0207054

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Dynamical systems in classical and celestial mechanics (37N05) Hamiltonian and Lagrangian mechanics (70H99)

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Extension of Malcev Algebra and Applications to Gravity ⋮ Cartan-Weyl 3-algebras and the BLG theory. II: Strong-semisimplicity and generalized Cartan-Weyl 3-algebras ⋮ Nambu-Lie 3-algebras on fuzzy 3-manifolds ⋮ A \( \mathcal{N} = 8 \) action for multiple M2-branes with an arbitrary number of colors ⋮ Matrix regularization of classical Nambu brackets and super \(p\)-branes ⋮ A toy model of open membrane field theory in constant 3-form flux ⋮ Quantized Nambu–Poisson manifolds and n-Lie algebras

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