TY - JOUR
A2 - Cheung, Kingman
AU - Soroka, Dmitrij V.
AU - Soroka, Vyacheslav A.
PY - 2009
DA - 2009/06/14
TI - Semi-Simple Extension of the (Super) PoincarĂ© Algebra
SP - 234147
VL - 2009
AB - 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).
SN - 1687-7357
UR - https://doi.org/10.1155/2009/234147
DO - 10.1155/2009/234147
JF - Advances in High Energy Physics
PB - Hindawi Publishing Corporation
KW -
ER -