Аннотация:
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.
Ключевые слова:extensions of the Poincaré algebra; field theory; algebraic methods; Lie (super)-algebras; gauge symmetry.