TY - JOUR

T1 - Integrable symplectic trilinear interaction terms for matrix membranes

AU - Curtright, Thomas

AU - Fairlie, David

AU - Zachos, Cosmas

PY - 1997/7/17

Y1 - 1997/7/17

N2 - 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.

AB - 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.

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U2 - 10.1016/S0370-2693(97)00551-0

DO - 10.1016/S0370-2693(97)00551-0

M3 - Article

AN - SCOPUS:0039379625

VL - 405

SP - 37

EP - 44

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -