Integrable symplectic trilinear interaction terms for matrix membranes
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 3dimensional case, by virtue of the explicit Lax pair provided. The constructions introduced also apply to commutator or Moyal Bracket analogues.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(97)005510
 arXiv:
 arXiv:hepth/9704037
 Bibcode:
 1997PhLB..405...37C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 11 pages, LaTeX