Extension of the Poincaré Symmetry and Its Field Theoretical Implementation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.3842/SIGMA.2006.056

We define a new algebraic extension of the Poincar\'e 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.

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