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.
- Publication:
-
SIGMA
- Pub Date:
- May 2006
- DOI:
- 10.3842/SIGMA.2006.056
- arXiv:
- arXiv:hep-th/0510268
- Bibcode:
- 2006SIGMA...2..056T
- Keywords:
-
- extensions of the Poincaré algebra;
- field theory;
- algebraic methods;
- Lie (super)algebras;
- gauge symmetry;
- High Energy Physics - Theory;
- Mathematical Physics;
- Quantum Physics
- E-Print:
- Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/