Semi-Simple Extension of the (Super) Poincaré Algebra
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 genera...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2009/234147 |
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| author | Dmitrij V. Soroka Vyacheslav A. Soroka |
| author_facet | Dmitrij V. Soroka Vyacheslav A. Soroka |
| author_sort | Dmitrij V. Soroka |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-e6c75f44ffda4cd987e82952962bd82c |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-e6c75f44ffda4cd987e82952962bd82c2025-08-20T03:26:03ZengWileyAdvances in High Energy Physics1687-73571687-73652009-01-01200910.1155/2009/234147234147Semi-Simple Extension of the (Super) Poincaré AlgebraDmitrij V. Soroka0Vyacheslav A. Soroka1Kharkov Institute of Physics and Technology, 1, Akademicheskaya St., 61108 Kharkov, UkraineKharkov Institute of Physics and Technology, 1, Akademicheskaya St., 61108 Kharkov, UkraineA 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).http://dx.doi.org/10.1155/2009/234147 |
| spellingShingle | Dmitrij V. Soroka Vyacheslav A. Soroka Semi-Simple Extension of the (Super) Poincaré Algebra Advances in High Energy Physics |
| title | Semi-Simple Extension of the (Super) Poincaré Algebra |
| title_full | Semi-Simple Extension of the (Super) Poincaré Algebra |
| title_fullStr | Semi-Simple Extension of the (Super) Poincaré Algebra |
| title_full_unstemmed | Semi-Simple Extension of the (Super) Poincaré Algebra |
| title_short | Semi-Simple Extension of the (Super) Poincaré Algebra |
| title_sort | semi simple extension of the super poincare algebra |
| url | http://dx.doi.org/10.1155/2009/234147 |
| work_keys_str_mv | AT dmitrijvsoroka semisimpleextensionofthesuperpoincarealgebra AT vyacheslavasoroka semisimpleextensionofthesuperpoincarealgebra |