### 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) |
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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 | |

State | Published - Jul 17 1997 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

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