Four dimensional cubic supersymmetry

Abstract

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.

arXiv commentLateX 10 pages, contribution to the 5th International Conference On Symmetry In Nonlinear Mathematical Physics June 23-29 Jul 2003, Kyiv, Ukraine

References in corpus (8)

• Group Theoretical Foundations of Fractional Supersymmetry
• Geometrical foundations of fractional supersymmetry
• Fractional Supersymmetry and Fth-Roots of Representations
• Local Fractional Supersymmetry for Alternative Statistics
• 2D Fractional Supersymmetry for Rational Conformal Field Theory. Application for Third-Integer Spin States
• Fractional Superspace Formulation of Generalized Super-Virasoro Algebras
• Non-Trivial Extensions of the 3D-Poincaré Algebra and Fractional Supersymmetry for Anyons
• Fractional Supersymmetry and F-fold Lie Superalgebras

Cited by in corpus (1)

• Extension of the Poincaré Symmetry and Its Field Theoretical Implementation