Extension of the Poincaré Symmetry and Its Field Theoretical Implementation

Abstract

We define a new algebraic extension of the Poincaré symmetry; this algebra is used to implement a field theoretical model. Free Lagrangians are explicitly constructed; several discussions regarding degrees of freedom, compatibility with Abelian gauge invariance etc. are done. Finally we analyse the possibilities of interaction terms for this model.

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (3)

• Finite-dimensional Lie algebras of order F
• Cubic root of Klein-Gordon equation
• Four dimensional cubic supersymmetry