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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 056, 23 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.056 (Mi sigma84) 		 
This article is cited in 1 scientific paper (total 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
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DOI: https://doi.org/10.3842/SIGMA.2006.056
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.
Received: October 31, 2005; in final form April 28, 2006; Published online May 29, 2006
Bibliographic databases:
Document Type: Article
MSC: 81T60; 17B99
Language: English
Citation: Adrian Tanasa, “Extension of the Poincaré Symmetry and Its Field Theoretical Implementation”, SIGMA, 2 (2006), 056, 23 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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