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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

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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.

### Most cited references8

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### Int. J. Mod. Phys.

(1998)
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• Record: found

### Found. Phys.

(2002)
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### The algebraic theory of spinors

(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
S0103-97332005000700035 10.1590/S0103-97332005000700035

###### Product
Product Information: SciELO Brazil
###### Categories
PHYSICS, MULTIDISCIPLINARY

General physics