Semi-simple Extension of the (Super) Poincaré Algebra. (7th June 2009)

• Record Type: Journal Article
• Authors: Soroka, Dmitrij V.; Soroka, Vyacheslav A.
• Other Names: Cheung Kingman Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2009(2009)
• Publication Date: 2009-06-07
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2009/234147
• Languages: English
• ISSNs: 1687-7357

Abstract

Abstract : A semi-simple tensor extension of the Poincaré algebra is proposed for the arbitrary dimensionsD . It is established that this extension is a direct sum of theD -dimensional Lorentz algebra so(D − 1, 1) andD -dimensional anti-de Sitter (AdS) algebra so(D − 1, 2). A supersymmetric also semi-simple generalization of this extension is constructed in theD = 4 dimensions. It is shown that this generalization is a direct sum of the 4-dimensional Lorentz algebra so(3, 1) and orthosymplectic algebra osp(1, 4) (super-AdS algebra).