Semi-Simple Extension of the (Super) Poincaré Algebra
Joint Authors
Soroka, Dmitrij V.
Soroka, Vyacheslav A.
Source
Advances in High Energy Physics
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-06-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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).
American Psychological Association (APA)
Soroka, Dmitrij V.& Soroka, Vyacheslav A.. 2009. Semi-Simple Extension of the (Super) Poincaré Algebra. Advances in High Energy Physics،Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-455956
Modern Language Association (MLA)
Soroka, Dmitrij V.& Soroka, Vyacheslav A.. Semi-Simple Extension of the (Super) Poincaré Algebra. Advances in High Energy Physics No. 2009 (2009), pp.1-9.
https://search.emarefa.net/detail/BIM-455956
American Medical Association (AMA)
Soroka, Dmitrij V.& Soroka, Vyacheslav A.. Semi-Simple Extension of the (Super) Poincaré Algebra. Advances in High Energy Physics. 2009. Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-455956
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455956
