On the Embedding of Space-Time Symmetries into Simple Superalgebras

Details On the Embedding of Space-Time Symmetries into Simple Superalgebras On the Embedding of Space-Time Symmetries into Simple Superalgebras

2001-02-12

arxiv.org/abs/hep-th/0102060v1

Lett.Math.Phys. 57 (2001) 123-133

Physics

High Energy Physics

High Energy Physics - Theory

AMS LaTeX, 16 pages

Scientific paper

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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