On M algebras, the quantization of Nambu mechanics, and volume preserving diffeomorphisms
Jan, 199616 pages
Published in:
- Helv.Phys.Acta 70 (1997) 302-317
e-Print:
- hep-th/9602020 [hep-th]
Report number:
- ETH-TH-95-33
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Abstract:
M-branes are related to theories on function spaces involving M-linear non-commutative maps from to . While the Lie-symmetry-algebra of volume preserving diffeomorphisms of cannot be deformed when M>2, the arising M-algebras naturally relate to Nambu's generalisation of Hamiltonian mechanics, e.g. by providing a representation of the canonical M-commutation relations, . Concerning multidimensional integrability, an important generalisation of Lax-pairs is given.- field theory: scalar
- membrane model: p-brane
- Hamiltonian formalism
- operator: algebra
- symmetry breaking
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