This article is cited in 1 paper

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

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.

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

MSC: 81T60; 17B99

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

Language: English

DOI: 10.3842/SIGMA.2006.056

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ArXiv: hep-th/0510268