The Super-Poincaré Algebra Via Pure Spinors and the Interaction Principle in 3D Euclidean Space
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| Format: | Artículo científico |
| Language: | en |
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Sociedade Brasileira de Física
2005
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| _version_ | 1876482778364641280 |
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| author | R. da Rocha |
| author_facet | R. da Rocha |
| contents | The Super-Poincaré Algebra Via Pure Spinors and the Interaction Principle in 3D Euclidean Space R. da Rocha Física, Astronomía y Matemáticas The Poincar´e superalgebra is introduced from a generalization of the Cartans triality principle based onthe extension of Chevalley product, between semispinor spaces and even subspaces of the extended exterioralgebra over Euclidean space R3. The pure spinor formalism and the framework of Clifford algebras are used,in order to provide the necessary tools to introduce the Poincar´e superalgebra where all the operators in spaceand superspace are constructed via pure spinors in R3 and the interaction principle, that generalizes the SO(8)triality principle. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435735 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4B Vol.35 |
| format | Artículo científico |
| id | redalyc_46435735 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | The Super-Poincaré Algebra Via Pure Spinors and the Interaction Principle in 3D Euclidean Space R. da Rocha Física, Astronomía y Matemáticas The Super-Poincaré Algebra Via Pure Spinors and the Interaction Principle in 3D Euclidean Space R. da Rocha Física, Astronomía y Matemáticas The Poincar´e superalgebra is introduced from a generalization of the Cartans triality principle based onthe extension of Chevalley product, between semispinor spaces and even subspaces of the extended exterioralgebra over Euclidean space R3. The pure spinor formalism and the framework of Clifford algebras are used,in order to provide the necessary tools to introduce the Poincar´e superalgebra where all the operators in spaceand superspace are constructed via pure spinors in R3 and the interaction principle, that generalizes the SO(8)triality principle. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435735 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4B Vol.35 |
| title | The Super-Poincaré Algebra Via Pure Spinors and the Interaction Principle in 3D Euclidean Space |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46435735 |