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 -