Integrable Symplectic Trilinear Interaction Terms for Matrix Membranes
High Energy Physics - Theory
2009-10-02 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9704037,
title = {Integrable Symplectic Trilinear Interaction Terms for Matrix Membranes},
author = {Thomas Curtright and David Fairlie and Cosmas Zachos},
journal= {arXiv preprint arXiv:hep-th/9704037},
year = {2009}
}
Comments
11 pages, LaTeX