Some Results on Cubic and Higher Order Extensions of the Poincare Algebra

  title={Some Results on Cubic and Higher Order Extensions of the Poincare Algebra},
  author={Michel Rausch de Traubenberg},
In these lectures we study some possible higher order (of degree greater than two) extensions of the Poincare algebra. We first give some general properties of Lie superalgebras with some emphasis on the supersymmetric extension of the Poincare algebra or Supersymmetry. Some general features on the so-called Wess-Zumino model (the simplest field theory invariant under Supersymmetry) are then given. We further introduce an additional algebraic structure called Lie algebras of order F, which… 
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