Extension of the Poincaré symmetry and its field theoretical implementation

DOI10.3842/SIGMA.2006.056zbMATH Open1102.81067arXivhep-th/0510268OpenAlexW2016102381MaRDI QIDQ2495212

Adrian Tanasa

Publication date: 4 July 2006

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/hep-th/0510268

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zbMATH Keywords

gauge symmetryalgebrafield theoryalgebraic methodsLie (super)algebrasextensions of the Poincaré

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15) Lie algebras and Lie superalgebras (17B99)

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