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      The super-Poincaré algebra via pure spinors and the interaction principle in 3D Euclidean space

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      Brazilian Journal of Physics

      Sociedade Brasileira de Física

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          Abstract

          The Poincaré superalgebra is introduced from a generalization of the Cartan's triality principle based on the extension of Chevalley product, between semispinor spaces and even subspaces of the extended exterior algebra over Euclidean space $\mathbb{R}^3$. The pure spinor formalism and the framework of Clifford algebras are used, in order to provide the necessary tools to introduce the Poincaré superalgebra where all the operators in space and superspace are constructed via pure spinors in $\mathbb{R}^3$ and the interaction principle, that generalizes the SO(8) triality principle.

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          Most cited references 8

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          Int. J. Mod. Phys.

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            Found. Phys.

             P. Budinich (2002)
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              The algebraic theory of spinors

               C Chevalley (1954)
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                Author and article information

                Contributors
                Role: ND
                Journal
                bjp
                Brazilian Journal of Physics
                Braz. J. Phys.
                Sociedade Brasileira de Física (São Paulo )
                1678-4448
                December 2005
                : 35
                : 4b
                : 1138-1139
                Affiliations
                [1 ] Universidade Estadual de Campinas Brazil
                Article
                S0103-97332005000700035
                10.1590/S0103-97332005000700035

                http://creativecommons.org/licenses/by/4.0/

                Product
                Product Information: SciELO Brazil
                Categories
                PHYSICS, MULTIDISCIPLINARY

                General physics

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