Extension of the Poincaré Symmetry and Its Field Theoretical Implementation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Author: Tanasa, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146165
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Extension of the Poincaré Symmetry and Its Field Theoretical Implementation / A. Tanasa // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 40 назв. — англ.

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...