Integrable symplectic trilinear interaction terms for matrix membranes

Thomas Curtright; David Fairlie; Cosmas Zachos

doi:10.1016/S0370-2693(97)00551-0

Integrable symplectic trilinear interaction terms for matrix membranes

Thomas Curtright, David Fairlie, Cosmas Zachos

Physics

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41 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	37-44
Number of pages	8
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	405
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(97)00551-0
State	Published - Jul 17 1997

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ASJC Scopus subject areas

Nuclear and High Energy Physics

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Curtright, T., Fairlie, D., & Zachos, C. (1997). Integrable symplectic trilinear interaction terms for matrix membranes. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 405(1-2), 37-44. https://doi.org/10.1016/S0370-2693(97)00551-0

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10.1016/S0370-2693(97)00551-0