Constraining Maximally Supersymmetric Membrane Actions

  title={Constraining Maximally Supersymmetric Membrane Actions},
  author={Jerome P. Gauntlett and Jan B. Gutowski},
We study the recent construction of maximally supersymmetric field theory Lagrangians in three spacetime dimensions that are based on algebras with a triple product. Assuming that the algebra has a positive definite metric compatible with the triple product, we prove that the only nontrivial examples are either the well known case based on a four dimensional algebra or direct sums thereof. 
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