Integrable Symplectic Trilinear Interaction Terms for Matrix Membranes

Details Integrable Symplectic Trilinear Interaction Terms for Matrix Membranes Integrable Symplectic Trilinear Interaction Terms for Matrix Membranes

1997-04-04

arxiv.org/abs/hep-th/9704037v1

Phys.Lett.B405:37-44,1997

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX

Scientific paper

10.1016/S0370-2693(97)00551-0

Cubic interactions are considered in 3 and 7 space dimensions, respectively, for bosonic membranes in Poisson Bracket form. Their symmetries and vacuum configurations are discussed. Their associated first order equations are transformed to Nahm's equations, and are hence seen to be integrable, for the 3-dimensional case, by virtue of the explicit Lax pair provided. The constructions introduced also apply to commutator or Moyal Bracket analogues.

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