On the Embedding of Space-Time Symmetries into Simple Superalgebras
R. D'Auria, S. Ferrara, M. A. Lledo
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≥ 3. An 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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