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On the Embedding of Space-Time Symmetries into Simple Superalgebras

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arxiv hep-th/0102060 v1 pith:QJHGTQTS submitted 2001-02-12 hep-th

R. D'Auria , S. Ferrara , M. A. Lledo This is my paper
classification hep-th
keywords casescompactembeddingsimplesuperalgebrasalgebraalgebrasarbitrary
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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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  1. Killing (super)algebras for generalised spin manifolds

    math.DG 2025-11 conditional novelty 6.0 of 10

    Killing (super)algebras on generalised spin manifolds are filtered subdeformations of the R-symmetry-extended Poincaré superalgebra, classified by Spencer cohomology in the highly supersymmetric Lorentzian case and us...

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