Integrable symplectic trilinear interaction terms for matrix membranes

Curtright, Thomas; Fairlie, David; Zachos, Cosmas K.

doi:10.1016/S0370-2693(97)00551-0

Integrable symplectic trilinear interaction terms for matrix membranes

Apr, 1997

11 pages

Published in:

Phys.Lett.B 405 (1997) 37-44

e-Print:

hep-th/9704037 [hep-th]

DOI:

10.1016/S0370-2693(97)00551-0

Report number:

CERN-TH-97-063,
CERN-TH-97-63,
MIAMI-TH-1-97,
ANL-HEP-PR-97-10

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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.

Note:

11 pages, LaTeX Report-no: CERN-TH/97-63, Miami TH/1/97, ANL-HEP-PR-97-10

membrane model
matrix model
field theory: M-theory
dimension: 3
dimension: 7
gauge field theory: SU(N)
field theory: action
integrability
operator: algebra
operator: Lax

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