Affiliation:
1. Kharkov Institute of Physics and Technology, 1, Akademicheskaya St., 61108 Kharkov, Ukraine
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=4dimensions. 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).
Funder
Ukrainian National Academy of Science
Subject
Nuclear and High Energy Physics
Cited by
57 articles.
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