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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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         P. Budinich (2002)
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          Orthogonal and Symplectic Clifford Algebras: Spinor Structures

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            Author and article information

            Affiliations
            [1 ] Universidade Estadual de Campinas Brazil
            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
            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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