Integrable symplectic trilinear interaction terms for matrix membranes

Thomas Curtright, David Fairlie, Cosmas Zachos

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


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 languageEnglish (US)
Pages (from-to)37-44
Number of pages8
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
StatePublished - Jul 17 1997
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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