Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 056, 23 pages      hep-th/0510268

Extension of the Poincaré Symmetry and Its Field Theoretical Implementation

Adrian Tanasa
Laboratoire MIA, Faculté de Sciences et Techniques, Université de Haute Alsace, 4 rue des Frères Lumière, 68093 Mulhouse Cedex, France

Received October 31, 2005, in final form April 28, 2006; Published online May 29, 2006

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.

Key words: extensions of the Poincaré algebra; field theory; algebraic methods; Lie (super)algebras; gauge symmetry.

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