Semi‐simple Extension of the (Super) Poincaré Algebra
Dmitrij V. SorokaKharkov Institute of Physics and Technology, 1, Akademicheskaya St., 61108 KharkovVyacheslav A. SorokaKharkov Institute of Physics and Technology, 1, Akademicheskaya St., 61108 Kharkov
2009en
ABI
Annotatsiya
A semi‐simple tensor extension of the Poincaré algebra is proposed for the arbitrary dimensions D . It is established that this extension is a direct sum of the D ‐dimensional Lorentz algebra so( D − 1, 1) and D ‐dimensional anti‐de Sitter (AdS) algebra so( D − 1, 2). A supersymmetric also semi‐simple generalization of this extension is constructed in the D = 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).
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