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On the Embedding of Space-Time Symmetries into Simple Superalgebras

R. D'Auria·S. Ferrara·M. A. Lledo
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Abstract

We explore the embedding of Spin groups of arbitrary dimension and signature into simple superalgebras in the case of extended supersymmetry. The R-symmetry, which generically is not compact, can be chosen compact for all the cases that are congruent mod 8 to the physical conformal algebra so($D-2$,2), $D\geq 3$. An $\rm{so}(1,1)$ grading of the superalgebra is found in all cases. Central extensions of super translation algebras are studied in this framework.

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R. D'Auria, S. Ferrara, M. A. Lledo. 2001-02-12. On the Embedding of Space-Time Symmetries into Simple Superalgebras. https://arxiv.org/abs/hep-th/0102060

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