Four dimensional cubic supersymmetry

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A four dimensional non-trivial extension of the Poincaré algebra different from supersymmetry is explicitly studied. Representation theory is investigated and an invariant Lagrangian is exhibited. Some discussion on the Noether theorem is also given.
LateX 10 pages, contribution to the 5th International Conference On Symmetry In Nonlinear Mathematical Physics June 23-29 Jul 2003, Kyiv, Ukraine

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