Integrable Symplectic Trilinear Interaction Terms for Matrix Membranes

Preprint

4 April 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9704037

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

INTEGRABLE SYMPLECTIC
TRILINEAR INTERACTION
SYMPLECTIC TRILINEAR
MATRIX MEMBRANES
MEMBRANES CUBIC
COMMUTATOR
VIRTUE

All Related Versions

Version 1, 1997-04-04, ArXiv
Published version: Physics Letters B, 405 (1-2), 37.

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